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Created on: 2012-01-14

A sample problem solved by Quickmath web math calculator

Command

Simplify

Expression
(p^2-2*p-3)/(p-2)/p^2+4*p+3/p^2-4

  1. A sum that comprises 4 terms. The first term of the sum is equal to a fraction: the top of the fraction is a rational expression: the numerator of the rational expression is a sum comprising 3 terms. The first term of the sum is a power. The base is p. The exponent is two. The second term of the sum is equal to a negative product comprising 2 factors. The first factor of the product is equal to two. The second factor of the product is equal to p. The third term of the sum is equal to negative three. The denominator of the rational expression is a sum of 2 terms. The first term of the sum is equal to p. The second term of the sum is equal to negative two. The bottom of the fraction is a power. The base is p. The exponent is two. The second term of the sum is a product consisting of 2 factors. The first factor of the product is equal to four. The second factor of the product is equal to p. The third term of the sum is equal to a rational expression: the numerator of the rational expression is three. The denominator of the rational expression is a power. The base is p. The exponent is two. The four term of the sum is equal to negative four.
  2. p raised to the power two plus negative two multiplied by p plus negative three divided by p plus negative two over p raised to the power two plus four multiplied by p plus three over p raised to the power of two plus negative four;
Result
(4*p^4-12*p^3+9*p^2+p-9)/(p^3-2*p^2)

  1. A quotient: dividend of the quotient is a sum consisting of 5 terms; the first term of the sum is equal to a product that comprises 2 factors; the first factor of the product is equal to four; the second factor of the product is equal to a power; the base is p; the exponent is four; the second term of the sum is equal to a negative product that contains 2 factors; the first factor of the product is equal to twelve; the second factor of the product is a power; the base is p; the exponent is three; the third term of the sum is a product comprising 2 factors; the first factor of the product is equal to nine; the second factor of the product is equal to a power; the base is p; the exponent is two; the four term of the sum is equal to p; the five term of the sum is equal to negative nine; divisor of the quotient is a sum of 2 terms; the first term of the sum is equal to a power; the base is p; the exponent is three; the second term of the sum is a negative product that contains 2 factors; the first factor of the product is two; the second factor of the product is a power; the base is p; the exponent is two;
  2. four multiplied by p raised to the power of four plus negative twelve times p to the power three plus nine multiplied by p raised to the power two plus p plus negative nine fraction line p raised to the power three plus negative two times p to the power two.