Question

Simplify

4w^5(-9w^3-9w-9)

please help!

Answer 1

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

Explanation:

Using the rule of exponents

`a^(m)` ×
`a^(n)` =
`a^((m+n))` , then

4
`w^(5)` (- 9w³ - 9w - 9) ← distribute parenthesis by 4
`w^(5)`

= - 36
`w^((5+3))` - 36
`w^((5+1))` - 36
`w^(5)`

= - 36
`w^(8)` - 36
`w^(6)` - 36
`w^(5)`

Answer 2

`= > 4 {w}^(5) ( - 9 {w}^(3) - 9w - 9) \\ \: \: \: \: = > - 36w {}^(5 + 3) - 36 {}^(5 + 1) - 36 {}^(5) \\ = > - 36 w{}^(8) - {36w}^(6) - 36w {}^(5)`