Question

Factorise:
(x-1)(x-2)(x+3)(x+4)+4​

Answer 1

Answer:

Step-by-step explanation:

(x-1)(x-2)(x+3)(x+4)+4

lets multiply

(x-1)(x-2)

(x²-x-2x+2)=(x²-3x+2)

lets multiply

(x+3)(x+4)

=(x²+3x+4x+12)

=(x²+7x+12)

lets multiply both

(x²-3x+2)(x²+7x+12)+4

(x^4-7x³+12x²-3x³-21x²-36x+2x²+14x+24)+4

(x^4-7x³-3x³+12x²-21x²+2x²-36x+14x+24+4)

(x^4-10x³-7x²-36x+14x+28)

(x^4-10x³-7x²-22x+28)