Question

Factor the following.

Answer 1

The answer is A 2(3h+5)(h+12)

Hope this helps :)
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Answer 2

6h² + 82h + 120

I'm just going to simplify all of our answer choices, and see which one is correct.

a)  2(3h+ 5)(h + 12)

Simplify.

(6h + 10)(h + 12)

Simplify.

(6h · h) + (6h · 12) + (10 · h) + (10 · 12)

Simplify.

6h² + 72h + 10h + 120

Add like terms.

6h² + 82h + 120

So, A IS CORRECT.

However, let's just go through the rest just to make sure.

b)  (6h + 12)(h - 10)

Simplify. Because we have already showed you the steps on how to multiply this way, I will just simplify it the faster way, without showing all of the work :)

6h² - 60h + 12h - 120

Add like terms.

6h² - 48h - 120

Therefore, B is incorrect.

c)  (6h - 12)(h - 10)

Simplify.

6h² - 60h - 12h + 120

Add like terms.

6h² - 72h + 120

Therefore, C is incorrect as well.

d)  (6h - 60)²

Simplify.

(6h - 60)(6h - 60)

Simplify.

36h² - 360 - 360h + 3600

Add like terms.

-324h + 3240

Therefore, D is also incorrect.

Because A is the only one that is equal to 6h² + 82h + 120, it is correct.

~Hope I helped!~