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Question

5x2y=7 and xy=2, find the value of (5x+2y)2


A

127

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B

129

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C

133

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D

145

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Solution

The correct option is B

129


5x2y=7 and xy=2
(a+b)2=a2+b2+2ab
or, (a+b)2=a2+b22ab+4ab [Add and subtract 2ab]
(ab)2+4ab
(5x+2y)2=(5x2y)2+4×5x×2y(5x+2y)2=49+40×2=129


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Algebraic Identity: (a + b)^2 = a^2 + b^2 + 2ab
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