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Created on: 2012-02-22

Algebra : Expand

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A sample problem solved by Quickmath web algebra calculator

Command

Expand

Expression

(3*t+k)*(3*t-k)

  1. A product consisting of 2 factors; the 1st factor of the product is a sum containing 2 terms; the 1st term of the sum is equal to a product consisting of 2 factors; the 1st factor of the product is three; the 2nd factor of the product is t; the 2nd term of the sum is equal to k; the 2nd factor of the product is equal to a sum that contains 2 terms; the 1st term of the sum is a product that consists of 2 factors; the 1st factor of the product is three; the 2nd factor of the product is t; the 2nd term of the sum is negative k;
  2. left bracket three multiplied by t plus k right bracket times open bracket three times t plus negative k close bracket.

Result

9*t^2-k^2

  1. A sum comprising 2 terms. The 1st term of the sum is equal to a product consisting of 2 factors. The 1st factor of the product is equal to nine. The 2nd factor of the product is a power. The base is t. The exponent is two. The 2nd term of the sum is equal to a negative power. The base is k. The exponent is two.
  2. nine times t exponentiated by two plus negative k to the power two.



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