Question

Factorise the following.
(a) 72-9a + 2ab - 16b
(b) -12nx + 21ny + 35y - 20x
(c) 36qy - 16xq - 4px + 9py
(d) 5ky - 15ym - 6xm + 2kx​

Answer 1

Answer:

(a) (a-8)(2b-9)

(b) (-3n-5)(4x-7y)

(c) (-4q-p)(4x-9y)

(d) (k-3m)(5y+2x)

Step-by-step explanation:

(a) 72-9a + 2ab - 16b

= -9a +72 + 2ab - 16b

= -9(a-8) +2b(a-8)

= (a-8)(-9+2b)

= (a-8)(2b-9)

(b) -12nx + 21ny + 35y - 20x

= -12nx + 21ny - 20x + 35 y

= -3n(4x -7y) -5(4x-7y)

= (-3n-5)(4x-7y)

(c)36qy - 16xq - 4px + 9py

=-16xq + 36qy - 4px + 9py

=-4q(4x-9y) -p (4x-9y)

=(-4q-p)(4x-9y)

(d) 5ky - 15ym - 6xm + 2kx

=5ky - 15ym + 2kx -6xm

= 5y(k-3m) +2x(k-3m)

=(k-3m)(5y+2x)