Q88Multiple choice
Factorise the following expressions.
- (i)6ab + 12bc
- (ii)–xy – ay
- (iii)ax3 – bx2 + cx
- (iv)l 2m 2n – lm 2n 2– l 2mn 2 (v) 3pqr –6p 2q 2r 2 – 15r 2 (vi) x 3y2 + x 2y3 – xy4 + xy (vii) 4xy2 – 10x 2y + 16x 2y2 + 2xy (viii) 2a3 – 3a2b + 5ab 2 – ab (ix) 63p 2q 2r 2s – 9pq 2r 2s 2 + 15p 2qr 2s 2 – 60p 2q 2rs 2 (x) 24x 2yz 3 – 6xy 3z 2 + 15x 2y 2z – 5xyz (xi) a3 + a2 + a + 1 (xii) lx + my + mx + ly (xiii) a3x – x4 + a2x2 – ax3 (xiv) 2x2 – 2y + 4xy – x (xv) y2 + 8zx – 2xy – 4yz (xvi) ax2y – bxyz – ax2z + bxy2 (xvii) a2b + a2c + ab + ac + b2c + c2b (xviii) 2ax2 + 4axy + 3bx2 + 2ay2 + 6bxy + 3by2
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(i) 6ab + 12bc
(ii) –xy – ay
(iii) ax3 – bx2 + cx
(iv) l 2m 2n – lm 2n 2– l 2mn 2 (v) 3pqr –6p 2q 2r 2 – 15r 2 (vi) x 3y2 + x 2y3 – xy4 + xy (vii) 4xy2 – 10x 2y + 16x 2y2 + 2xy (viii) 2a3 – 3a2b + 5ab 2 – ab (ix) 63p 2q 2r 2s – 9pq 2r 2s 2 + 15p 2qr 2s 2 – 60p 2q 2rs 2 (x) 24x 2yz 3 – 6xy 3z 2 + 15x 2y 2z – 5xyz (xi) a3 + a2 + a + 1 (xii) lx + my + mx + ly (xiii) a3x – x4 + a2x2 – ax3 (xiv) 2x2 – 2y + 4xy – x (xv) y2 + 8zx – 2xy – 4yz (xvi) ax2y – bxyz – ax2z + bxy2 (xvii) a2b + a2c + ab + ac + b2c + c2b (xviii) 2ax2 + 4axy + 3bx2 + 2ay2 + 6bxy + 3by2