Question

Factorise:

(x²-x) (4x²-4x-5) -6​

Answer 1

Answer:

(x-2)(4x³-x+3)

Step-by-step explanation:

(x²-x) (4x²-4x-5) -6​

= 4x⁴ -4x³-5x²-4x³+4x²+5x-6

= 4x⁴ -8x³-x²+5x-6

= 4x³(x-2) - (x²-5x+6)

= 4x³(x-2) - (x-3)(x-2)

= (x-2) [4x³-(x-3)]

= (x-2)(4x³-x+3)