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Factorisation Using Algebraic Identities

Factorise: a2...

Question

Factorise:
$a^{2} b^{2} - 6 a b c + 9 c^{2}$

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Solution

$a^{2} b^{2} - 6 a b c + 9 c^{2} = (a b)^{2} - 2 \times a b \times 3 c + (3 c)^{2} = (a b - 3 c)^{2} A n s .$

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