Factorising (Edexcel GCSE Maths): Flashcards

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Factorising
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Factorising definition

Opposite of expanding brackets

Factorising step 1

Find biggest number dividing all terms

Factorising step 2

Highest power of each letter in every term

Check factorisation by...

Expanding brackets to match original

D.O.T.S. meaning

Difference Of Two Squares

D.O.T.S. formula

a2b2=(a+b)(ab)a^2 - b^2 = (a + b)(a - b)

a2+b2a^2 + b^2 factorisable?

No, D.O.T.S. only for subtraction

Common factors are...

Terms taken out and placed before brackets

Factorise 3x2+6x3x^2 + 6x

3x(x+2)3x(x + 2)

Factorise x21x^2 - 1

(x+1)(x1)(x + 1)(x - 1)

Factorise 9p216q29p^2 - 16q^2

(3p+4q)(3p4q)(3p + 4q)(3p - 4q)

Factorise 3x275y23x^2 - 75y^2

3(x5y)(x+5y)3(x - 5y)(x + 5y)

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