Question

How in earth do you do this?

Answer 1

Hi,

(2w+7)(w²+5)

Explanation:

`2w^3+7w^2+10w+35\\\\=w^2(2w+7)+5(2w+7)\\\\=(2w+7)(w^2+5)\\`

Or

`2w^3+10w+7w^2+35\\\\=2w(w^2+5)+7(w^2+5)\\\\=(w^2+5)(2w+7)\\`

Answer 2

`\huge\boxed{\sf (2w + 7)(w\² + 5)}`

Explanation:

Given expression:

= 2w³ + 7w² + 10w + 35

This expression has 4 terms. We will have to make groups of two out of these four terms.

So, it will be like:

= (2w³ + 7w²) + (10w + 35)

• In the first group. the common term is w².
• In the second group, the common term is 5.

So, the expression will become:

= w²(2w + 7) + 5(2w + 7)

Now, looking at the two groups, we find another common term i.e. (2w + 7)

So,

= (2w + 7)(w² + 5)

That is the required factorized form.

`\rule[225]{225}{2}`