Gujarat BoardEnglish MediumSTD 8MATHSFactorization3 Marks
Question
Solve:
$a^2-2 a b+b^2-c^2$
✓
Answer
$a^2-2 a b+b^2-c^2$
$=\left(a^2-2 a b+b^2\right)-c^2$
$=\left(a^2-2 \times a \times b+b^2\right)-c^2$
$=(a-b)^2-c^2=[(a-b)-c][(a-b)+c]$
$=(a-b-c)(a-b+c)$
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