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Factorisation of Quadratic Polynomials- Middle Term Splitting

Factorise:abx...

Question

Factorise:
$a b x + a b y - b c x - b c y$ [2 MARKS]

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Solution

Grouping: 1 Mark
Factorisation: 1 Mark

$a b x + a b y - b c x - b c y$

$= a b (x + y) - b c (x + y)$

$= (x + y) (a b - a c)$

$= a (b - c) (x + y)$

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Factorise: abx + aby - bcx - bcy

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