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Factorization — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorization3 Marks
Question
Solve:
$x^2+2 x+1-9 y^2$
✓

Answer

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

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