Q. 252 - Intermediate Algebra

Question

In the following exercises, find the product of $(x^5 + y^5 )(x^5 - y^5 )$.

Step-by-Step Solution

Answer

The product of  $(x^5 + y^5 )(x^5 - y^5 )$ is $x^{10}-y^{10}$

Step 1. Given Information.

The given expression is $(x^5 + y^5 )(x^5 - y^5 )$.

Step 2. Solve for the multiplication of given expression.

Multiply the expression $(x^5 + y^5 )(x^5 - y^5 )$

Apply Difference of Two Squares Formula:-

$(a+b)(a-b)=a^2-b^2$

$\begin{array}{rcl} (x^5 + y^5 )(x^5 - y^5 )& =& {\left(x^5\right)}^2-{\left(y^5\right)}^2\\ {\left(x^5\right)}^2-{\left(y^5\right)}^2& =& x^{10}-y^{10}\end{array}$