Question

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

Short answer

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

Step-by-step solution

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:-

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

localid="1644760207854" $\begin{array}{rcl}(x^5+y^5)(x^5-y^5)& =& {\left(x^5\right)}^2-{\left(y^5\right)}^2\\ {\left(x^5\right)}^2-{\left(y^5\right)}^2& =& x^{10}-y^{10}\end{array}$