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Factorisation by Common Factors

Simplify: a2...

Question

Simplify:
$a^{2} + 4 b^{2} - 4 a - 8 b + 4 a b$

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Solution

Now,

$a^{2} + 4 b^{2} - 4 a - 8 b + 4 a b$

$= (a^{2} + 4 a b + 4 b^{2}) - 4 (a + 2 b)$

$= (a + 2 b)^{2} - 4 (a + 2 b)$

$= (a + 2 b) (a + 2 b - 4)$ .

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