Question

Solve it immediately (x³+4x²-4x-16)

Answer 1

Given Equation is x^3 + 4x^2 - 4x - 16.

                             = (x^3 + 4x^2) + (-4x -16)

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

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

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

We know that a^2 - b^2 = (a - b)(a + b)
  
                            = (x + 4)(x - 2)(x + 2).


Hope this helps!