Question

Factorise:

(i) 15(5x - 4)2 - 10(5x - 4)

(ii) 3a2x - bx + 3a2-b

(iii) b(c- d)2 + ad -c) + 3(c - d)

(iv) ax2 + b2y - ab2 – x2y

(v) 1 - 3x – 3y - 4(x + y)2​

Answer 1

(I) 15(25x

2

+16−40x)−10(5x−4)

=375x

2

+240−600x−50x+40

=375x

2

−650x+280

=5(75x

2

−130x+56)

=5(75x

2

−60x−70x+56)

=5(15x)(5x−4)−(14)(5x−4)

=5(15x−14)(5x−4)

(ii) 3a2 x - bx + 3a2 - b

= x (3a2 - b) + 1 (3a2 - b)

= (x + 1) (3a2 - b)

(iii)

(iv) see in photo

(v) see in photo