Answer
$(4a + 3b)(4a - 3b)$
Work Step by Step
We can solve this quadratic expression by factoring.
We see that this expression can be factored using the formula to factor the difference of two squares. According to this formula:
$x^2 - y^2 = (x + y)(x - y)$
In the polynomial $16a^2 - 9b^2$, $x$ is the $\sqrt {16a^2}$ or $4a$, and $b$ is $\sqrt {9b^2}$ or $3b$. We plug these values into the formula:
$(4a + 3b)(4a - 3b)$
