Question

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

Answer 1

answer

Answer 2

To use the Distributive Property to rewrite the polynomial \((x + 8)(x - 2)\), we will distribute each term in the first parenthesis \((x + 8)\) with each term in the second parenthesis \((x - 2)\).

1. Distribute \(x\):
- \(x \cdot x = x^2\)
- \(x \cdot (-2) = -2x\)

2. Distribute \(8\):
- \(8 \cdot x = 8x\)
- \(8 \cdot (-2) = -16\)

Now, we combine all these results:

\[
x^2 - 2x + 8x - 16
\]

Next, combine like terms (\(-2x\) and \(8x\)):

\[
x^2 + 6x - 16
\]

Thus, the polynomial \((x + 8)(x - 2)\) rewritten using the Distributive Property is:

\[
x^2 + 6x - 16
\]

Answer 3

The polynomial \((x + 8)(x - 2)\) rewritten using the Distributive Property is:

\[
x^2 + 6x - 16
\]