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
3x2−10x−8
3 x squared minus 10 x minus 8
2x2+10x−10
2 x squared plus 10 x minus 10
To use the Distributive Property to rewrite the expression (2x−2)(x−6), we need to distribute the 2x and the -2 to each term of the second binomial.
(2x−2)(x−6) = (2x)(x) + (2x)(-6) + (-2)(x) + (-2)(-6)
Simplifying this expression, we get:
2x^2 - 12x - 2x + 12
Combining like terms, we have:
2x^2 - 14x + 12
Therefore, the correct answer is:
2x^2 - 14x + 12