Question

a,x^2-y^2-2x-2y

b,x^4+2x^3-4x-4

Answer 1

a,x^2-y^2-2x-2y

= (x-y).(x+y) - 2.(x-y)

= (x-y).(x+y-2)

 b,x^4+2x^3-4x-4

= x^4 - 2x^2 + 2x^3 - 4x + 2x^2 - 4

= (x^4 - 2x^2) + (2x^3 - 4x) + (2x^2 - 4)

= x^2.(x^2 - 2) + 2x.(x^2 - 2) + 2. (x^2 - 2)

= (x^2 - 2).(x^2 + 2x + 2)