Question

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

Answer 1

`x^4y^2+2x^3y^2+x^2y^2`

Explanation:

Remember: `x^nxxx^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 + 2x^(2+1)y^2 + x^2y^2`

`= x^4y^2+2x^3y^2+x^2y^2`