The problem asks us to expand the expression $(4a - 3b)^2$.

1. Problem Description

The problem asks us to expand the expression $(4a - 3b)^2$.

2. Solution Steps

We can expand the expression using the formula for the square of a binomial:

$(x - y)^2 = x^2 - 2xy + y^2$

In this case, $x = 4a$ and $y = 3b$.

So, we have:

$(4a - 3b)^2 = (4a)^2 - 2(4a)(3b) + (3b)^2$

Now, we simplify each term:

$(4a)^2 = 16a^2$

$2(4a)(3b) = 24ab$

$(3b)^2 = 9b^2$

Putting it all together:

$(4a - 3b)^2 = 16a^2 - 24ab + 9b^2$

3. Final Answer

$16a^2 - 24ab + 9b^2$