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Identities — MATHS STD 8 — Question

ICSE BoardEnglish MediumSTD 8MATHSIdentities4 Marks
Question
Evaluate : $(a + bc) (a − bc) (a^2 + b^2c^2)$
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Answer

$(a + bc) (a − bc) (a^2 + b^2c^2)$
$= [(a)^2 − (bc)^2] (a^2 + b^2c^2) ...........[(a+b) (a−b) = a^2 − b^2]$
$= (a^2− b^2c^2) (a^2+ b^2c^2) ..........[ \because (a+b) (c−b) = a^2 − b^2]$
$= a^4 − b^4c^4$

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