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Question

If 2a+12a=8, then find 4a2+14a2.

A
48
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B
56
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C
74
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D
62
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Solution

The correct option is D 62

Applying the formula, (a+b)2=a2+b2+2ab
(2a+12a)2=2a2+(12a)2+2×2a×12a=4a2+14a2+2
=>4a2+14a2=(2a+12a)22
Substituting 2a+12a=8,
=>4a2+14a2=822=642=62



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