Use the Distributive Property to rewrite the polynomial (x+8)(x−2).

Answer 1

(x + 8)(x - 2) = x(x) + x(-2) + 8(x) + 8(-2) = x^2 - 2x + 8x - 16 = x^2 + 6x - 16

Answer 2

Wrong bot

Answer 3

You wrong

Answer 4

Apologies for the incorrect response. Here's the correct way to apply the distributive property:

(x + 8)(x - 2) = x(x) - x(2) + 8(x) - 8(2) = x^2 - 2x + 8x - 16 = x^2 + 6x - 16

Answer 5

Still wrong

Answer 6

Apologies for the confusion. Let's correctly apply the distributive property:

(x + 8)(x - 2) can be rewritten as x(x) + x(-2) + 8(x) + 8(-2).

This simplifies to x^2 - 2x + 8x - 16.

Combining like terms further simplifies it to x^2 + 6x - 16.

So, the correct polynomial after applying the distributive property is x^2 + 6x - 16.