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Created on: 2011-12-26

A sample problem solved by Quickmath online math calculator

help with adding and subtracting a quotient.

Command

Simplify

Expression
b*%e*(d*f+c*f+c*%e)*(b*d+a*b+a*c)+c*f*(b*f+b*%e+a*%e)*(b*d+a*b+a*c)+a*b*(b*f+b*%e+a*%e)*(d*f+c*f+c*%e)

  1. A sum that consists of 3 terms; the first term of the sum is a product that consists of 4 factors; the first factor of the product is b; the second factor of the product is equal to e; the third factor of the product is equal to a sum that consists of 3 terms; the first term of the sum is equal to a product of 2 factors; the first factor of the product is equal to d; the second factor of the product is equal to f; the second term of the sum is a product containing 2 factors; the first factor of the product is c; the second factor of the product is equal to f; the third term of the sum is equal to a product consisting of 2 factors; the first factor of the product is equal to c; the second factor of the product is equal to e; the four factor of the product is a sum comprising 3 terms; the first term of the sum is equal to a product containing 2 factors; the first factor of the product is equal to b; the second factor of the product is d; the second term of the sum is equal to a product containing 2 factors; the first factor of the product is a; the second factor of the product is b; the third term of the sum is equal to a product consisting of 2 factors; the first factor of the product is equal to a; the second factor of the product is equal to c; the second term of the sum is a product containing 4 factors; the first factor of the product is c; the second factor of the product is equal to f; the third factor of the product is a sum that consists of 3 terms; the first term of the sum is a product that consists of 2 factors; the first factor of the product is equal to b; the second factor of the product is f; the second term of the sum is equal to a product of 2 factors; the first factor of the product is b; the second factor of the product is equal to e; the third term of the sum is equal to a product that consists of 2 factors; the first factor of the product is equal to a; the second factor of the product is equal to e; the four factor of the product is a sum that consists of 3 terms; the first term of the sum is a product containing 2 factors; the first factor of the product is b; the second factor of the product is d; the second term of the sum is a product comprising 2 factors; the first factor of the product is a; the second factor of the product is equal to b; the third term of the sum is equal to a product containing 2 factors; the first factor of the product is a; the second factor of the product is equal to c; the third term of the sum is equal to a product consisting of 4 factors; the first factor of the product is equal to a; the second factor of the product is equal to b; the third factor of the product is equal to a sum that comprises 3 terms; the first term of the sum is equal to a product of 2 factors; the first factor of the product is b; the second factor of the product is equal to f; the second term of the sum is equal to a product comprising 2 factors; the first factor of the product is equal to b; the second factor of the product is equal to e; the third term of the sum is equal to a product that consists of 2 factors; the first factor of the product is equal to a; the second factor of the product is equal to e; the four factor of the product is equal to a sum that contains 3 terms; the first term of the sum is a product that comprises 2 factors; the first factor of the product is d; the second factor of the product is equal to f; the second term of the sum is a product that consists of 2 factors; the first factor of the product is equal to c; the second factor of the product is equal to f; the third term of the sum is equal to a product that contains 2 factors; the first factor of the product is c; the second factor of the product is equal to e;
  2. b multiplied by e times open brace d multiplied by f plus c multiplied by f plus c multiplied by e close brace times open parenthesis b multiplied by d plus a times b plus a times c close parenthesis plus c multiplied by f times open brace b multiplied by f plus b multiplied by e plus a times e close brace times open parenthesis b times d plus a times b plus a times c close parenthesis plus a multiplied by b multiplied by left brace b times f plus b times e plus a times e right brace times open bracket d times f plus c times f plus c multiplied by e close bracket;
Result
((b^2*c+a*b^2)*d+a*b*c^2+2*a*b^2*c)*f^2+(%e*b^2*d^2+((2*%e*b^2+2*%e*a*b)*c+2*%e*a*b^2+%e*a^2*b)*d+(2*%e*a*b+%e*a^2)*c^2+(4*%e*a*b^2+2*%e*a^2*b)*c)*f+%e^2*b^2*c*d+%e^2*a*b*c^2+(2*%e^2*a*b^2+%e^2*a^2*b)*c

  1. A sum that comprises 5 terms. The first term of the sum is a product that comprises 2 factors. The first factor of the product is equal to a sum consisting of 3 terms. The first term of the sum is equal to a product of 2 factors. The first factor of the product is equal to a sum of 2 terms. The first term of the sum is equal to a product that consists of 2 factors. The first factor of the product is equal to a power. The base is b. The exponent is two. The second factor of the product is equal to c. The second term of the sum is a product of 2 factors. The first factor of the product is equal to a. The second factor of the product is a power. The base is b. The exponent is two. The second factor of the product is equal to d. The second term of the sum is equal to a product that comprises 3 factors. The first factor of the product is a. The second factor of the product is equal to b. The third factor of the product is equal to a power. The base is c. The exponent is two. The third term of the sum is equal to a product that comprises 4 factors. The first factor of the product is equal to two. The second factor of the product is equal to a. The third factor of the product is equal to a power. The base is b. The exponent is two. The four factor of the product is equal to c. The second factor of the product is equal to a power. The base is f. The exponent is two. The second term of the sum is a product of 2 factors. The first factor of the product is equal to a sum of 4 terms. The first term of the sum is equal to a product that comprises 3 factors. The first factor of the product is e. The second factor of the product is a power. The base is b. The exponent is two. The third factor of the product is a power. The base is d. The exponent is two. The second term of the sum is equal to a product consisting of 2 factors. The first factor of the product is a sum containing 3 terms. The first term of the sum is equal to a product containing 2 factors. The first factor of the product is equal to a sum consisting of 2 terms. The first term of the sum is equal to a product of 3 factors. The first factor of the product is two. The second factor of the product is e. The third factor of the product is equal to a power. The base is b. The exponent is two. The second term of the sum is equal to a product that consists of 4 factors. The first factor of the product is equal to two. The second factor of the product is equal to e. The third factor of the product is equal to a. The four factor of the product is b. The second factor of the product is equal to c. The second term of the sum is a product containing 4 factors. The first factor of the product is equal to two. The second factor of the product is e. The third factor of the product is a. The four factor of the product is equal to a power. The base is b. The exponent is two. The third term of the sum is a product that comprises 3 factors. The first factor of the product is equal to e. The second factor of the product is a power. The base is a. The exponent is two. The third factor of the product is b. The second factor of the product is equal to d. The third term of the sum is equal to a product comprising 2 factors. The first factor of the product is equal to a sum that contains 2 terms. The first term of the sum is equal to a product that comprises 4 factors. The first factor of the product is equal to two. The second factor of the product is equal to e. The third factor of the product is equal to a. The four factor of the product is b. The second term of the sum is equal to a product comprising 2 factors. The first factor of the product is equal to e. The second factor of the product is equal to a power. The base is a. The exponent is two. The second factor of the product is equal to a power. The base is c. The exponent is two. The four term of the sum is a product containing 2 factors. The first factor of the product is equal to a sum that consists of 2 terms. The first term of the sum is a product consisting of 4 factors. The first factor of the product is equal to four. The second factor of the product is e. The third factor of the product is equal to a. The four factor of the product is equal to a power. The base is b. The exponent is two. The second term of the sum is equal to a product that contains 4 factors. The first factor of the product is equal to two. The second factor of the product is e. The third factor of the product is a power. The base is a. The exponent is two. The four factor of the product is b. The second factor of the product is equal to c. The second factor of the product is equal to f. The third term of the sum is equal to a product of 4 factors. The first factor of the product is equal to a power. The base is e. The exponent is two. The second factor of the product is a power. The base is b. The exponent is two. The third factor of the product is equal to c. The four factor of the product is equal to d. The four term of the sum is equal to a product that comprises 4 factors. The first factor of the product is equal to a power. The base is e. The exponent is two. The second factor of the product is a. The third factor of the product is b. The four factor of the product is equal to a power. The base is c. The exponent is two. The five term of the sum is equal to a product that comprises 2 factors. The first factor of the product is equal to a sum containing 2 terms. The first term of the sum is a product that contains 4 factors. The first factor of the product is two. The second factor of the product is a power. The base is e. The exponent is two. The third factor of the product is a. The four factor of the product is equal to a power. The base is b. The exponent is two. The second term of the sum is equal to a product consisting of 3 factors. The first factor of the product is a power. The base is e. The exponent is two. The second factor of the product is a power. The base is a. The exponent is two. The third factor of the product is equal to b. The second factor of the product is c.
  2. open bracket open parenthesis b to the power two multiplied by c plus a multiplied by b to the power of two close parenthesis times d plus a multiplied by b times c to the power of two plus two multiplied by a times b to the power two multiplied by c close bracket times f exponentiated by two plus opening parenthesis e times b exponentiated by two times d raised to the power of two plus opening parenthesis opening brace two multiplied by e multiplied by b exponentiated by two plus two times e multiplied by a times b closing brace times c plus two times e times a multiplied by b raised to the power two plus e multiplied by a raised to the power of two multiplied by b closing parenthesis times d plus open brace two times e times a multiplied by b plus e multiplied by a raised to the power two close brace multiplied by c to the power two plus left brace four multiplied by e times a multiplied by b raised to the power two plus two multiplied by e multiplied by a raised to the power two multiplied by b right brace multiplied by c closing parenthesis multiplied by f plus e raised to the power two times b raised to the power two times c times d plus e raised to the power of two times a times b times c to the power two plus opening brace two multiplied by e raised to the power two multiplied by a multiplied by b raised to the power of two plus e to the power of two times a raised to the power of two times b closing brace times c;