Simplify ((a+b)^2)/((-a-b)^2)

$\frac{{(a + b)}^{2}}{{(- a - b)}^{2}}$

Factor $- 1$ out of $a$ .

$\frac{{(- 1 (- a) + b)}^{2}}{{(- a - b)}^{2}}$

Factor $- 1$ out of $b$ .

$\frac{{(- 1 (- a) - 1 (- b))}^{2}}{{(- a - b)}^{2}}$

Factor $- 1$ out of $- 1 (- a) - 1 (- b)$ .

$\frac{{(- 1 (- a - b))}^{2}}{{(- a - b)}^{2}}$

Apply the product rule to $- 1 (- a - b)$ .

$\frac{{(- 1)}^{2} {(- a - b)}^{2}}{{(- a - b)}^{2}}$

Raise $- 1$ to the power of $2$ .

$\frac{1 {(- a - b)}^{2}}{{(- a - b)}^{2}}$

Multiply ${(- a - b)}^{2}$ by $1$ .

$\frac{{(- a - b)}^{2}}{{(- a - b)}^{2}}$

Cancel the common factor.

$\frac{{(- a - b)}^{2}}{{(- a - b)}^{2}}$

Rewrite the expression.

$1$