Use the Distributive Property to rewrite the polynomial (x+8)(x−2).
(x + 8)(x - 2) = x(x) + x(-2) + 8(x) + 8(-2) = x^2 - 2x + 8x - 16 = x^2 + 6x - 16
Wrong bot
You wrong
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
Still wrong
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.
To use the Distributive Property to rewrite the polynomial (x+8)(x−2), you need to distribute each term in the first polynomial (x+8) to each term in the second polynomial (x-2).
Let's break it down into two steps:
Step 1: Distribute the first term, x, in the first polynomial to each term in the second polynomial (x-2):
x * x = x^2
x * -2 = -2x
Step 2: Distribute the second term, 8, in the first polynomial to each term in the second polynomial (x-2):
8 * x = 8x
8 * -2 = -16
Now, we can combine the like terms obtained from the distribution:
(x+8)(x−2) = x^2 + (-2x) + (8x) + (-16)
Combining like terms, we get:
(x+8)(x−2) = x^2 + 6x - 16
So, the polynomial (x+8)(x−2) can be rewritten as x^2 + 6x - 16 using the Distributive Property.