# How do you multiply x^2y^2(x^2+2x+1)?

Sep 20, 2016

${x}^{4} {y}^{2} + 2 {x}^{3} {y}^{2} + {x}^{2} {y}^{2}$

#### Explanation:

Remember: ${x}^{n} \times {x}^{m} = {x}^{n + m}$

Expand the expression and add exponents of $x$ and $y$ for each term. (Actually there are no terms in $y$ within the bracket in this case, so we only need to add the exponents of the terms in $x$)

Thus: ${x}^{2 + 2} {y}^{2} + 2 {x}^{2 + 1} {y}^{2} + {x}^{2} {y}^{2}$

$= {x}^{4} {y}^{2} + 2 {x}^{3} {y}^{2} + {x}^{2} {y}^{2}$