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Factorisation — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSFactorisation2 Marks
Question
Factorise$ : a^2- (2a + 3b)^2$
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Answer

$a^2- (2a + 3b)^2$
$= a^2 - ( 2a + 3b )^2$
$= ( a - 2a - 3b )( a + 2a + 3b ) [ \because a^2 - b^2 = ( a + b )(a - b)]$
$= ( - a - 3b )( 3a + 3b )$
$= - 3( a + 3b )( a + b )$

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