Question

Factorize (x²-4) (x²+5x+6)

Answer 1

we know that (a²-b²)=(a+b)(a-b)

hence (x²-4) can be written as (x-2)(x+2)

now (x²+5x+6)

=>this can be written as (x²+2x+3x+6)

=>x(x+2)+3(x+2)

=>(x+2)(x+3)

Hence  (x²-4) (x²+5x+6) can be written as (x+2)(x-2)(x+2)(x+3)