Question

Find the product and simplify your answer. 4w^5(-9w^3-9w-9)

Answer 1

`-36w^8-36w^6-36w^5`

Explanation:

Expand
`4w^5\left(-9w^3-9w-9\right)`:

1. We can rewrite
`\left(-9w^3-9w-9\right)` as
`-9(w^3 + w + 1)` by factoring out -9

2. The expression then becomes
`(4w^5)(-9)(w^3+w+1)`

3. Multiply the coefficients to get
`(-36w^5)(w^3+w+1)`

4.
`\mathrm{Apply\:the\:distributive\:law}: m\left(a+b+c\right)=ma+mb+mc`

`-36w^5\left(w^3 + w+ 1\right)`

=
`-36w^5 (w^3) -36w^5(w) -36w^5(1) = -36w^8-36w^6-36w^5` (Answer)