Question

Which expression is equivalent to (x+1)^2-9/x+4 A. X-2 B. X+2 C. X-4 D. X+4

Answer 1

$\frac{(x + 1) {}^{2} - 9}{x + 4}$

Use difference of squares for numerator:

$\frac{(x + 1 + 3)(x + 1 - 3)}{x + 4}$
$\frac{(x + 4)(x - 2)}{x + 4}$

Simplify x+4:

$x - 2$