Question

Use the distributive property to remove the parentheses.

7w3(2w5+9w)
Simplify your answer as much as possible.
Ó
Х
Х
5
?

Answer 1

7w⁴ (2w⁴ + 9)

Explanation:

Given

• 7w³ (2w⁵ + 9w)

Let's simplify.

• Using the distributive property, 7w³ is distributed to 2w⁵ and 9w
• 7w³ * 2w⁵ + 7w³ * 9w
• 14w⁸ + 63w⁴
• The common factor of the two terms is : 7w⁴
• ⇒ 7w⁴ (2w⁴ + 9)

Answer 2

14
`w^(8)` + 63
`w^(4)`

Explanation:

7w³ (2
`w^(5)` + 9w) ← multiply each term in the parenthesis by 7w³

= 14
`w^(8)` + 63
`w^(4)`

[ using rule of exponents

`a^(m)` ×
`a^(n)` =
`a^((m+n))` ]