Question

(x^2+2x+2)(x^2+2x-2) multiply

Answer 1

Answer: x^4 + 4x^3 + 4x^2 - 4

Step-by-step explanation:

(x^2 +2x + 2)(x^2 + 2x -2)

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

{ (a+b)(a-b) = a^2 - b^2 }

= { (x^2)^2 + 2×(x^2)×(2x) } - 4

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

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