Question

Factorize:(x+2)(x-3)(x+4)(x+5)-24

Answer 1

2x^2+8x-10

Explanation:

we factorize each parentheses alone so

(x+2)(x-3)

(x+4)(x+5)

(x+2)(x-3)=

`{x}^(2) - 3x + 2x - 6`

(x+4)(x+5)=

`{x}^(2) + 5x +4x + 20`

so we add them together

x^2-3x+2x-6+x^2+5x+4x+20-24

2x^2+8x+14-24

2x^2+8x-10