Question

4 multiple choice 1 point
which expression is equivalent to $\frac{49x^{2}-16}{7x+4}$, where $x \
eq -\frac{4}{7}$?
$7x-16$
$7x$
$7x+4$
$7x-4$
previous

Explanation:

Step1: Recognize difference of squares

$49x^2 - 16 = (7x)^2 - 4^2$

Step2: Factor the numerator

$(7x)^2 - 4^2 = (7x+4)(7x-4)$

Step3: Cancel common factors

$\frac{(7x+4)(7x-4)}{7x+4} = 7x-4$ (since $x
eq -\frac{4}{7}$, $7x+4
eq 0$)

Answer:

D. 7x-4