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Created on: 2011-12-15

A sample problem solved by Quickmath algebra solver

Command

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Expression

(-a^2+4*b)^5

  1. A power. The base is a sum that consists of 2 terms. The first term of the sum is equal to a negative power. The base is a. The exponent is two. The second term of the sum is a product that comprises 2 factors. The first factor of the product is equal to four. The second factor of the product is b. The exponent is five.
  2. open parenthesis a negative raised to the power of two plus four multiplied by b close parenthesis raised to the power five;

Result

1024*b^5-1280*a^2*b^4+640*a^4*b^3-160*a^6*b^2+20*a^8*b-a^10

  1. A sum that consists of 6 terms. The first term of the sum is equal to a product of 2 factors. The first factor of the product is one thousand twenty four. The second factor of the product is a power. The base is b. The exponent is five. The second term of the sum is a negative product of 3 factors. The first factor of the product is equal to one thousand two hundred and eighty. The second factor of the product is equal to a power. The base is a. The exponent is two. The third factor of the product is equal to a power. The base is b. The exponent is four. The third term of the sum is equal to a product that contains 3 factors. The first factor of the product is six hundred and forty. The second factor of the product is a power. The base is a. The exponent is four. The third factor of the product is equal to a power. The base is b. The exponent is three. The four term of the sum is equal to a negative product that comprises 3 factors. The first factor of the product is equal to one hundred sixty. The second factor of the product is a power. The base is a. The exponent is six. The third factor of the product is a power. The base is b. The exponent is two. The five term of the sum is equal to a product of 3 factors. The first factor of the product is twenty. The second factor of the product is a power. The base is a. The exponent is eight. The third factor of the product is equal to b. The six term of the sum is equal to a negative power. The base is a. The exponent is ten.
  2. one thousand twenty four multiplied by b raised to the power five plus negative one thousand two hundred and eighty times a raised to the power two multiplied by b to the power four plus six hundred and forty multiplied by a raised to the power of four times b raised to the power three plus negative one hundred sixty times a exponentiated by six multiplied by b to the power two plus twenty multiplied by a raised to the power of eight multiplied by b plus a negative to the power of ten;