Exercise 3.5: Factorisation

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