Question

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

Answer 1

Answer:

The answer is x^3+3x^2-4

Have a great day!

-Seth

Answer 2

For this case we must multiply the polynomial $(x ^ 2 + x-2)$ by the monomial $(x + 2)$, for this, we apply distributive property that states:

$(a + c) * (b + d) = ab + ad + cb + cd$

So:

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

Considering that $+ * - = -$

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

Adding similar terms:

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

So, by multiplying $(x ^ 2 + x-2) (x + 2)$ we get $x ^ 3 + 3x ^ 2-4$

Answer:

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