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Created on: 2011-12-26

A sample problem solved by Quickmath online math calculator

Command

Factor

Expression

3*(5*x-6)*(2*x-3)^3+(5*x-6)^2*(2*x-3)

  1. A sum that contains 2 terms; the 1st term of the sum is equal to a product of 3 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is equal to a sum that consists of 2 terms; the 1st term of the sum is a product comprising 2 factors; the 1st factor of the product is equal to five; the 2nd factor of the product is equal to x; the 2nd term of the sum is negative six; the 3rd factor of the product is equal to a power ; the base is a sum of 2 terms; the 1st term of the sum is equal to a product that consists of 2 factors; the 1st factor of the product is equal to two; the 2nd factor of the product is equal to x; the 2nd term of the sum is negative three; the exponent is three; the 2nd term of the sum is equal to a product of 2 factors; the 1st factor of the product is equal to a power; the base is a sum comprising 2 terms; the 1st term of the sum is equal to a product comprising 2 factors; the 1st factor of the product is equal to five; the 2nd factor of the product is x; the 2nd term of the sum is equal to negative six; the exponent is two; the 2nd factor of the product is equal to a sum that comprises 2 terms; the 1st term of the sum is equal to a product comprising 2 factors; the 1st factor of the product is equal to two; the 2nd factor of the product is equal to x; the 2nd term of the sum is equal to negative three;
  2. three multiplied by left bracket five multiplied by x plus negative six right bracket times opening bracket two multiplied by x plus negative three closing bracket raised to the power of three plus left bracket five multiplied by x plus negative six right bracket to the power of two times open bracket two times x plus negative three close bracket.

Result

(2*x-3)*(5*x-6)*(12*x^2-31*x+21)

  1. A product that contains 3 factors; the 1st factor of the product is equal to a sum that consists of 2 terms; the 1st term of the sum is equal to a product of 2 factors; the 1st factor of the product is equal to two; the 2nd factor of the product is x; the 2nd term of the sum is equal to negative three; the 2nd factor of the product is equal to a sum of 2 terms; the 1st term of the sum is equal to a product of 2 factors; the 1st factor of the product is five; the 2nd factor of the product is equal to x; the 2nd term of the sum is negative six; the 3rd factor of the product is equal to a sum containing 3 terms; the 1st term of the sum is a product that comprises 2 factors; the 1st factor of the product is twelve; the 2nd factor of the product is equal to a power; the base is x; the exponent is two; the 2nd term of the sum is equal to a negative product of 2 factors; the 1st factor of the product is thirty one; the 2nd factor of the product is equal to x; the 3rd term of the sum is twenty one;
  2. open brace two multiplied by x plus negative three close brace multiplied by open parenthesis five multiplied by x plus negative six close parenthesis times open bracket twelve multiplied by x exponentiated by two plus negative thirty one times x plus twenty one close bracket;