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If m : n = 2 : 1, evaluate $\frac{3m^2 - 2n^2}{m^2 + mn}$ ...

If m : n = 2 : 1, evaluate $\frac{3m^2 - 2n^2}{m^2 + mn}$

A.

$\frac{4}{3}$

B.

$\frac{5}{3}$

C.

$\frac{3}{4}$

D.

$\frac{3}{5}$

View answer & explanation

Correct answer is B

m = 2, n = 1

$\frac{3m^2 - 2n^2}{m^2 _ mn}$

= $\frac{3(2)^2 - 2(1)^2}{2^2 + 2(1)}$

= $\frac{12 - 2}{4 + 2} = \frac{10}{6}$

= $\frac{5}{3}$

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