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Factorisation Using Algebraic Identities

Factorise: 36...

Question

Factorise:
$36 a^{2} + 36 a + 9$

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Solution

$36 a^{2} + 36 a + 9 = 9 [4 a^{2} + 4 a + 1] = 9 [(2 a)^{2} + 2 \times 2 a \times 1 + (1)^{2}] = 9 [2 a + 1]^{2}$

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