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6th attempt on posting this question and getting an answer :,)

Help haha..?

6th attempt on posting this question and getting an answer :,) Help haha..?-example-1
User Ericosg
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1 Answer

15 votes
15 votes

Answer:

GCF: (x + 2)(9x + 6)

Explanation:

Given the algebraic expression, 9x(x + 2) + 6(x + 2), where the greatest common factor (GCF) must be taken out:

Solution:

Since (x + 2) are common between the two groups, then we can group 9x and 6 together.

In other words:

= 9x(x + 2) + 6(x + 2)

= (9x + 6)(x + 2)

If we perform the FOIL method onto (9x + 6)(x + 2), it will result in the following trinomial:

(9x + 6)(x + 2)

= 9x² + 18x + 6x + 12

= 9x² + 24x + 12

Verify Solution:

In order to see why this works, let's go back to the original problem, as if we're trying to determine the resulting trinomial:

Given: 9x(x + 2) + 6(x + 2)

Distribute 9x and 6 into the parenthesis:

= 9x² + 18x + 6x + 12

Combine like terms:

= 9x² + 24x + 12 ⇒ As we can see, this trinomial matches our solution.

Therefore, the correct answer is: (x + 2)(9x + 6).

User Thody
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3.0k points