SAT Math Practice Question #7472 - SATify | SATify

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SAT Math Practice Question #7472 - SATify | SATify

#7472

algebra

factorization

expressions

simplification

medium

100 sec

Which expression is equivalent to
$\frac{p + 1}{p + q} + \frac{q ( p + q )}{p ^{2} q + p q ^{2}}$ ?

A.

$\frac{p ^{2} q + pq + q ^{2}}{p ^{2} q + p q ^{2}}$

B.

$\frac{p ^{2} q + 2 pq + q ^{2}}{p ^{2} q + p q ^{2}}$

C.

$\frac{p + 1 + q ( p + q )}{p ^{2} q + p q ^{2}}$

D.

$\frac{p ^{2} q + 2 pq + q ^{2}}{( p + q ) ( p ^{2} q + p q ^{2} )}$