Question

use the distributive property to rewrite the expression $(2x - 2)(x - 6)$. (1 point)
$\bigcirc\\ 2x^2 - 14x + 12$
$\bigcirc\\ x^2 - 8x + 12$
$\bigcirc\\ 2x^2 + 10x - 10$
$\bigcirc\\ 3x^2 - 10x - 8$

Explanation:

Step1: Apply Distributive Property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
$(2x - 2)(x - 6) = 2x \cdot x + 2x \cdot (-6) - 2 \cdot x + (-2) \cdot (-6)$

Step2: Simplify Each Term

• $2x \cdot x = 2x^2$
• $2x \cdot (-6) = -12x$
• $-2 \cdot x = -2x$
• $(-2) \cdot (-6) = 12$

Step3: Combine Like Terms

Combine the $x$ terms: $-12x - 2x = -14x$
So the expression becomes: $2x^2 - 14x + 12$

Answer:

A. $2x^2 - 14x + 12$