Question

Factor the expression.

9b^2+48b+64

Answer 1

[AI-generated answer — Bot GPT 3.5]

We can factor the expression as follows:

9b^2 + 48b + 64

First, we can look for two numbers that multiply to give 64 and add to give 48. These numbers are 8 and 8, since 8 * 8 = 64 and 8 + 8 = 16.

So, we can rewrite the expression as:

9b^2 + 8b + 8b + 64

Next, we can factor by grouping:

(9b^2 + 8b) + (8b + 64)

We can factor out the greatest common factor from each group:

b(9b + 8) + 8(9b + 8)

Now, we can see that we have a common binomial factor of (9b + 8):

(9b + 8)(b + 8)

Therefore, the fully factored expression is:

(9b + 8)(b + 8)