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Factorisation of Quadratic Polynomials- Middle Term Splitting

Factorise: aa...

Question

Factorise:
a(a-2b-c)+2bc

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Solution

a(a – 2b – c) + 2bc

a(a – 2b – c) + 2bc

= $a^{2} - 2 a b - a c + 2 b c$

= a (a – 2b) – c (a – 2b)

= (a – 2b) (a – c)

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