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# Exercise 3.5: Factorisation

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Exercise 3.5 : Factorisation

1. Factorise the following expressions:

(i) 2a 2 + 4a2b + 8a2c (ii) ab ac mb +mc

2. Factorise the following:

(i) x2 + 4x + 4 (ii) 3a2 24ab + 48b2 (iii) x5 -16x (iv) m2 + [1/ m2] −23 (v) 6 -216x2 (vi) a2 + [1/a2] −18

3. Factorise the following:

(i) 4x 2 + 9y2 + 25z 2 + 12xy + 30yz + 20xz

(ii) 25x 2 + 4y2 + 9z 2 20xy +12yz 30xz

4. Factorise the following:

(i) 8x3 +125y3 (ii) 27x3 − 8y3 (iii) a6 64

5. Factorise the following:

(i) x3 + 8y3 + 6xy 1 (ii) l3 − 8m3 -27n3 -18lmn

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