Question

what is x^3+3x^2+3x+1 divided by X+1​

Answer 1

Answer:

x^2 + 2x + 1

Step-by-step explanation:

x^3 + 3x^2 + 3x + 1 = (x)^3 + 3*(x)^2*(1) + 3*(x)*(1)^2 + (1)^3

                               = (x + 1)^3        [ (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 ]

So, x^3+3x^2+3x+1 divided by x+1

    =​  (x + 1)^3 divided by x+1

    = (x+1)^2 = x^2 + 2x + 1