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Factorization — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorization3 Marks
Question
Solve:
$a^2+4 a b+3 b^2$
 
✓

Answer

$x^2+2 x+1-9 y^2$
$=a^2+4 a b+4 b^2-b^2$
$=\left[a^2+2 \times a \times 2 b+(2 b)^2\right]-b^2$
$=(a+2 b)^2-b^2$
$=[(a+2 b)-b][(a+2 b)+b]$
$=(a+2 b-b)(a+2 b)+b]$
$=(a+2 b-b)(a+2 b+b)$
$=(a+b)(a+3 b)$

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