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Question

If a+b=9, and a−b=5, find the value of 2(a2+b2).


A

100

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B

106

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C

94

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D

45

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Solution

The correct option is B

106


We know 2(a2+b2)=(a+b)2+(ab)2.

Given a+b=9 and ab=5.

Substituting the values in the above formula, we get

2(a2+b2)=92+52

=81+25

=106


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