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Factorisation — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSFactorisation2 Marks
Question
Factorise$ :a - b - 4a^2+ 4b^2$
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Answer

$a - b - 4a^2+ 4b^2$
$= ( a - b ) - 4( a^2 - b^2 )$
$= ( a - b ) - 4( a - b )( a + b ) [ \because a^2 - b^2 = ( a + b )( a - b )]$
$= ( a - b )[ 1 - 4( a + b )]$
$= ( a - b )[ 1 - 4a - 4b ]$

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