Question

Factorise : (x-1)(x-3)(x-5)(x-7)-9.

Answer 1

Answer:

Step-by-step explanation:

(x - 1)(x - 7)(x - 3)(x - 5) - 65

=(x^2 - 8x + 7)(x^2 - 8x + 15) - 65

= (y + 7)(y + 15) - 65, where y = x^2 - 8x

= y^2 + 22y + 105 - 65

= y^2 + 22y + 40

= (y + 2)(y + 20)

= (x^2 - 8x + 2)(x^2 - 8x + 20)