Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions, Identities and Factorisation1 Mark
MCQ
The value of $(a+b)^2+(a-b)^2$ is:
A
$2 a+2 b$
B
$2 a-2 b$
✓
$2 a^2+2 b^2$
D
$2 a^2-2 b^2$
✓
Answer
Correct option: C.
$2 a^2+2 b^2$
We have,
$(a+b)^2+(a-b)^2$
$=\left(a^2+b^2+2 a b\right)+\left(a^2+b^2-2 a b\right) $
$=\left(a^2+a^2\right)+\left(b^2+b^2\right)+(2 a b-2 a b) $
$ =2 a^2+2 b^2$
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