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Factorization — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorization3 Marks
Question
Solve:$25 x^2-10 x+1-36 y^2$
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Answer

$25 x^2-10 x+1-36 y^2=\left(25 x^2-10 x+1\right)-36 y^2$
$=\left[(5 x)^2-2 x 5 x x 1+1\right]-36 y^2$
$=(5 x-1)^2-(6 y)^2$
$=[(5 x-1)-6 y][(5 x-1)+6 y]$
$=(5 x-1-6 y)(5 x-1+6 y)$
$=(5 x-6 y-1)(5 x+6 y-1)$

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