Question

Factorise. (i) `x^2 + xy + 8x + 8y` (ii) `15xy - 6x + 5y - 2` (iii) `ax + bx - ay - by` (iv) `15pq + 15 + 9q + 25p` (v) `z - 7 + 7xy - xyz`

Answer 1

(i) `x^2 + xy + 8x + 8y`
`= x(x+y) + 8(x+y) `
`= (x+y)(x+8) `
(ii) `15xy - 6x +5y - 2`
`= 5y(3x+1) -2(3x+1)`
`= (5y-2)(3x+1)`
(iii) `ax+bx-ay-by`
`a(x-y) + b(x-y)`
`(x-y)(a+b)`
(iv) `15pq + 15 + 9q + 25p`
`= 5p(3q + 5) + 3(3q+5)`
`=(5p+3)(3q+5)`
(v) `z-7+7xy - xyz`
`xy(7-z) + 1(z-7)`
`(xy+1)(7-z)`
answer