Edexcel IGCSE Math A 2.2.HB Factorising Quadratic Expressions

Practise factorising ax² + bx + c, differences of two squares and expressions requiring a common factor first.

Exam points

choose bracket factors whose product gives ac and whose sum gives the middle term
recognise A²−B² and factorise it as (A−B)(A+B)
extract any common factor before completing a quadratic or difference-of-squares factorisation

[Maximum number: 2]

Factorise fully $2 e^{2}-18$

$2e^2-18=2(e^2-9)$ $2(e^2-9)=2(e-3)(e+3)$

Final answer:
2(e-3)(e+3)

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