Question

Use the Distributive Property to rewrite the expression (2x−2)(x−6) .(1 point) Responses x2−8x+12 x squared minus 8 x plus 12 2x2−14x+12 2 x squared minus 14 x plus 12 2x2+10x−10 2 x squared plus 10 x minus 10 3x2−10x−8

Answer 1

To use the Distributive Property to rewrite the expression \((2x - 2)(x - 6)\), we will distribute each term inside the first parenthesis to each term inside the second parenthesis.

1. Distributing \(2x\):
- \(2x \cdot x = 2x^2\)
- \(2x \cdot (-6) = -12x\)

2. Distributing \(-2\):
- \(-2 \cdot x = -2x\)
- \(-2 \cdot (-6) = 12\)

Now, we combine all these results together:
\[
2x^2 - 12x - 2x + 12
\]

Combine like terms:
\[
2x^2 - 14x + 12
\]

Thus, the expression \((2x - 2)(x - 6)\) simplifies to:
\[
\boxed{2x^2 - 14x + 12}
\]

This corresponds to the response "2x²−14x+12".