SAT Math Practice Question #31949 - SATify | SATify

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SAT Math Practice Question #31949 - SATify | SATify

#31949

factorization

simplification

expressions

algebra

hard

120 sec

Which expression is equivalent to $\frac{2 a + b}{a ^{2} - b ^{2}} + \frac{b ( a - b )}{a ^{3} b - a b ^{3}}$ ?

A.

$\frac{2 a ^{2} b + a b ^{2} + ab - b ^{2}}{a ^{3} b - a b ^{3}}$

B.

$\frac{2 a ^{2} b + a b ^{2} + ab + b ^{2}}{a ^{3} b - a b ^{3}}$

C.

$\frac{2 a ^{2} b + a b ^{2} + ab - b ^{2}}{a ^{2} - b ^{2}}$

D.

$\frac{2 a ^{2} b + a b ^{2} + b ^{2} - ab}{a ^{3} b - a b ^{3}}$