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