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Created on: 2012-01-05

A sample problem solved by Quickmath math calculator

Command

Simplify

Expression
b*(h/n)*(b-(n^2/2-n/2-1)/(h/n))

  1. A product that contains 3 factors; the first factor of the product is equal to b; the second factor of the product is equal to a rational expression: the top of the rational expression is h; the bottom of the rational expression is n; the third factor of the product is a sum of 2 terms; the first term of the sum is b; the second term of the sum is equal to a negative fraction: the numerator of the fraction is a sum containing 3 terms; the first term of the sum is equal to a rational expression: the top of the rational expression is a power; the base is n; the exponent is two; the bottom of the rational expression is two; the second term of the sum is a negative rational expression: the top of the rational expression is n; the bottom of the rational expression is two; the third term of the sum is equal to negative one; the denominator of the fraction is a quotient: dividend of the quotient is h; divisor of the quotient is n;
  2. b times open brace h over n close brace multiplied by left parenthesis b plus negative n to the power two over two plus negative n divided by two plus negative one over h divided by n right parenthesis;
Result
-(b*n^3-b*n^2-2*b*n-2*b^2*h)/(2*n)

  1. A quotient: dividend of the quotient is a negative sum that contains 4 terms; the first term of the sum is a product that contains 2 factors; the first factor of the product is equal to b; the second factor of the product is equal to a power; the base is n; the exponent is three; the second term of the sum is a negative product containing 2 factors; the first factor of the product is equal to b; the second factor of the product is equal to a power; the base is n; the exponent is two; the third term of the sum is a negative product containing 3 factors; the first factor of the product is equal to two; the second factor of the product is equal to b; the third factor of the product is equal to n; the four term of the sum is a negative product that consists of 3 factors; the first factor of the product is equal to two; the second factor of the product is equal to a power; the base is b; the exponent is two; the third factor of the product is equal to h; divisor of the quotient is a product comprising 2 factors; the first factor of the product is equal to two; the second factor of the product is equal to n;
  2. negative left parenthesis b times n raised to the power three plus negative b times n to the power two plus negative two times b multiplied by n plus negative two times b to the power of two multiplied by h right parenthesis divided by two multiplied by n.