Question

Multiply (x^2+x+1)(x-1)

Answer 1

D x^2+2x+1

Explanation:

Answer 2

x^3 - 1

Explanation:

(x^2 + x + 1) (x - 1)

Here we have to use the distributive property.

(x^2 + x + 1)x -1(x^2 + x + 1)

Now distribute x and -1 inside the parenthesis, we get

x^3 + x^2 + x -x^2 - x - 1

Now we have to simplify the like terms.

x^3 + x^2 -x^2 + x - x -1 [x^2 - x^2 =0; x -x = 0]

= x^3 - 1

The answer is x^3 - 1

Thank you.