(a + 2b)^2 - 8ab is equal to: - Vidyadip

MCQ

$(a + 2b)^2 - 8ab$ is equal to:

A
$a^2+ 4b^2$
B
$a^2 - 4b^2$
✓
$(a - 2b)^2$
D
$a^2 + 2b^2$

✓

Answer

Correct option: C.

$(a - 2b)^2$

$(a + 2b)^2 - 8ab = a^2+ 4b^2+ 4ab - 8ab$
$= a^2+ 4b^2 - 4ab$
$= (a)^2+ (2b)^- 2(a) (2b)$
$= (a - 2b)^2$

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