SAT Math Practice Question #38815 - SATify | SATify

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SAT Math Practice Question #38815 - SATify | SATify

#38815

expressions

algebra

hard

100 sec

Calculator OK

Which expression is equivalent to $\frac{2 a + b}{a - 2 b} + \frac{ab + 2 b ^{2}}{a ^{2} - 4 ab + 4 b ^{2}}$ ?

A.

$\frac{2 a ^{2} - 2 ab}{a ^{2} - 4 ab + 4 b ^{2}}$

B.

$\frac{2 a ^{2} + 2 ab}{a ^{2} - 4 ab + 4 b ^{2}}$

C.

$\frac{2 a ^{2} - 4 ab - 2 b ^{2}}{a ^{2} - 4 ab + 4 b ^{2}}$

D.

$\frac{2 a ^{2} - 2 b ^{2}}{a ^{2} - 4 ab + 4 b ^{2}}$