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FACTORISING 1. Factorising is the reverse of expanding. expand. factorise. Examples 1 Factorise. First find the HCF of 5 x and 10. The HCF is 5. Examples 2 Factorise. First find the HCF of 2 x and 6. The HCF is 2. Examples 3 Factorise. First find the HCF of 6 x and 9.
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Factorising is the reverse of expanding. expand factorise
Examples 1Factorise First find the HCF of 5x and 10. The HCF is 5.
Examples 2Factorise First find the HCF of 2x and 6. The HCF is 2.
Examples 3Factorise First find the HCF of 6x and 9. The HCF is 3.
Examples 4 Factorise First find the HCF of x2 and 3x. The HCF is x.
Examples 5 Factorise First find the HCF of 8x2 and 20x. The HCF is 4x.
Examples 6 Factorise First find the HCF of 15x2y, 9xy and 12x2y3. The HCF is 3xy.
Examples 7 Factorise First find the HCF of x(x + 3) and 2(x + 3). The HCF is (x + 3).
Examples 8 Factorise Factorise the first two terms and then the last two terms. The HCF of the two terms is (x − 5).
Factorisation can be used to simplify algebraic expressions.
Examples 1 Simplify factorise the numerator 1 divide numerator and denominator by x 1
Examples 2 Simplify factorise the numerator 1 divide numerator and denominator by 5 4
Examples 3 Simplify factorise the denominator 1 divide numerator and denominator by (x + y) 1
Examples 4 Simplify factorise the numerator, factorise the denominator 1 1 divide numerator and denominator by x and (x + 2y) 1 1