Question
Solve:
$a^2+2 a b+b^2-c^2$
$a^2+2 a b+b^2-c^2$
✓
Answer
$a^2+2 a b+b^2-c^2$
$=\left(a^2+2 a b+b^2\right)-c^2$
$=\left(a^2+2 \times a \times b+b^2\right)-c^2$
$=(a+b)^2-c^2$
$=[(a+b)-c][(a+b)+c]$
$=(a+b-c)(a+b+c)$
$=\left(a^2+2 a b+b^2\right)-c^2$
$=\left(a^2+2 \times a \times b+b^2\right)-c^2$
$=(a+b)^2-c^2$
$=[(a+b)-c][(a+b)+c]$
$=(a+b-c)(a+b+c)$
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