Algebraic Expressions and Identities — MATHS STD 8 — Question
Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities1 Mark
MCQ
The value of $(a + b)^2 + (a - b)^2$ is:
A
$2a + 2b$
B
$2a - 2b$
✓
$2a^2 + 2b^2$
D
$2a^2 - 2b^2$
✓
Answer
Correct option: C.
$2a^2 + 2b^2$
C. $2 a^2+2 b^2$ Solution:
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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