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Created on: 2012-03-11

A sample problem solved by Quickmath web algebra calculator

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Expression

(x^2-7*x+8)^6

  1. A power; the base is a sum of 3 terms; the first term of the sum is a power; the base is x; the exponent is two; the second term of the sum is a negative product that contains 2 factors; the first factor of the product is equal to seven; the second factor of the product is x; the third term of the sum is equal to eight; the exponent is six;
  2. opening bracket x to the power of two plus negative seven times x plus eight closing bracket to the power six.

Result

x^12-42*x^11+783*x^10-8540*x^9+60495*x^8-292362*x^7+986369*x^6-2338896*x^5+3871680*x^4-4372480*x^3+3207168*x^2-1376256*x+262144

  1. A sum that comprises 13 terms. The first term of the sum is equal to a power. The base is x. The exponent is twelve. The second term of the sum is equal to a negative product comprising 2 factors. The first factor of the product is equal to forty two. The second factor of the product is equal to a power. The base is x. The exponent is eleven. The third term of the sum is equal to a product that contains 2 factors. The first factor of the product is equal to seven hundred and eighty three. The second factor of the product is equal to a power. The base is x. The exponent is ten. The four term of the sum is equal to a negative product that contains 2 factors. The first factor of the product is equal to eight thousand and five hundred and forty. The second factor of the product is equal to a power. The base is x. The exponent is nine. The five term of the sum is equal to a product that comprises 2 factors. The first factor of the product is sixty thousand and four hundred and ninety five. The second factor of the product is a power. The base is x. The exponent is eight. The six term of the sum is a negative product of 2 factors. The first factor of the product is equal to two hundred and ninety two thousand and three hundred and sixty two. The second factor of the product is a power. The base is x. The exponent is seven. The seven term of the sum is equal to a product consisting of 2 factors. The first factor of the product is equal to nine hundred and eighty six thousand and three hundred and sixty nine. The second factor of the product is a power. The base is x. The exponent is six. The eight term of the sum is equal to a negative product of 2 factors. The first factor of the product is equal to two million and three hundred and thirty eight thousand and eight hundred and ninety six. The second factor of the product is a power. The base is x. The exponent is five. The nine term of the sum is a product that comprises 2 factors. The first factor of the product is equal to three million and eight hundred and seventy one thousand and six hundred and eighty. The second factor of the product is equal to a power. The base is x. The exponent is four. The ten term of the sum is a negative product of 2 factors. The first factor of the product is four million and three hundred and seventy two thousand and four hundred and eighty. The second factor of the product is a power. The base is x. The exponent is three. The eleven term of the sum is equal to a product that consists of 2 factors. The first factor of the product is equal to three million and two hundred and seven thousand and one hundred sixty eight. The second factor of the product is a power. The base is x. The exponent is two. The twelfth term of the sum is equal to a negative product consisting of 2 factors. The first factor of the product is equal to one million three hundred and seventy six thousand and two hundred and fifty six. The second factor of the product is equal to x. The thirteen term of the sum is equal to two hundred and sixty two thousand and one hundred forty four.
  2. x to the power twelve plus negative forty two multiplied by x exponentiated by eleven plus seven hundred and eighty three multiplied by x to the power of ten plus negative eight thousand and five hundred and forty multiplied by x raised to the power nine plus sixty thousand and four hundred and ninety five multiplied by x exponentiated by eight plus negative two hundred and ninety two thousand and three hundred and sixty two times x raised to the power seven plus nine hundred and eighty six thousand and three hundred and sixty nine multiplied by x exponentiated by six plus negative two million and three hundred and thirty eight thousand and eight hundred and ninety six multiplied by x to the power of five plus three million and eight hundred and seventy one thousand and six hundred and eighty multiplied by x exponentiated by four plus negative four million and three hundred and seventy two thousand and four hundred and eighty multiplied by x to the power of three plus three million and two hundred and seven thousand and one hundred sixty eight multiplied by x raised to the power of two plus negative one million three hundred and seventy six thousand and two hundred and fifty six times x plus two hundred and sixty two thousand and one hundred forty four.