Maharashtra BoardEnglish MediumSTD 8MathsFactorization2 Marks
Question
Solve:
$a^2-b^2+2 b c-c^2$
✓
Answer
$a^2-b^2+2 b c-c^2$
$=a^2-\left(b^2-2 b c+c^2\right)$
$=a^2-\left(b^2-2 \times b \times c+c^2\right)$
$=a^2-(b-c)^2$
$=[a-(b-c)][a+(b-c)]$
$=(a-b+c)(a+b-c)$
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