=(a2+3b4)+(a2+3b4) =a2+3b4+a2+3b4 =2a2+6b4 =a+3b2

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$(\frac{a}{2} + \frac{3 b}{4}) + (\frac{a}{2} + \frac{3 b}{4}) =$

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b + \frac{3 a}{2}

a + \frac{2 b}{3}

b + \frac{2 a}{3}

a + \frac{3 b}{2}

answer is A.

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Detailed Solution

= (\frac{a}{2} + \frac{3 b}{4}) + (\frac{a}{2} + \frac{3 b}{4})

$= \frac{a}{2} + \frac{3 b}{4} + \frac{a}{2} + \frac{3 b}{4}$

$= \frac{2 a}{2} + \frac{6 b}{4}$

$= a + \frac{3 b}{2}$

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