Question

$9b^2 - 16$

Explanation:

Step1: Recognize difference of squares

Identify $9b^2=(3b)^2$ and $16=4^2$, so the expression is a difference of squares $x^2-y^2$ where $x=3b$, $y=4$.

Step2: Apply difference of squares formula

Use the identity $x^2-y^2=(x+y)(x-y)$.
Substitute $x=3b$ and $y=4$: $(3b+4)(3b-4)$

Answer:

$(3b + 4)(3b - 4)$