Question

factor 16q^2 + 9

Answer 1

[AI-generated answer — Bot GPT 3.5]

To factor 16q^2 + 9, we need to find two binomials whose product is equal to the given expression.

First, we can see that it is a sum of squares because 16q^2 is the square of (4q)^2 and 9 is the square of 3^2.

Using the formula for sum of squares, we have:

(4q + 3)(4q + 3)

Simplifying this expression, we get:

(4q + 3)^2

Therefore, 16q^2 + 9 can be factored as (4q + 3)(4q + 3) or (4q + 3)^2.