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Factorisation — MATHS STD 8 — Question

ICSE BoardEnglish MediumSTD 8MATHSFactorisation3 Marks
Question
Factorise : $ab(c^2 + d^2) - a^2cd - b^2cd$
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Answer

$ab(c^2 + d^2) - a^2cd - b^2cd$
$= abc^2 + abd^2 - a^2cd - b^2cd$
$= abc^2 - a^2cd - b^2cd + abd^2$
$= ac (bc - ad) - bd (bc - ad)$
$= (bc - ad) (ac - bd)$

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