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Factorisation by Common Factors

Factorize: a2...

Question

Factorize:

$a^{2} - 32 a b - 105 b^{2}$ [2 Mark]

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Solution

$a^{2} - 32 a b - 105 b^{2}$

$a^{2} + 3 a b - 35 a b - 105 b^{2}$ [1 Mark]

$a (a + 3 b) - 35 b (a + 3 b)$

$(a + 3 b) (a - 35 b)$ [1 Mark]

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Factorize:

$a^{2} - 32 a b - 105 b^{2}$

Factorize

$a^{2} - 32 a b - 105 b^{2}$

a^{2} - 2 + \frac{1}{a^{2}}

a^{2} + b^{2}

a^{2} + 2 + \frac{1}{a^{2}}

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