Question

Simplify (2r-2)(-r-7)

Answer 1

Simple foil method

First

Outer

Inner
Last

(2r-2)(-r-7)

First: 2r * -r = -2r^2

Outer: 2r* -7 = -14r

Inner: -2 * -r = 2r

Last: -2 * -7 = 12

Add em all up.

-2r^2 -14r + 2r +12

Combine like terms

-2r^2 -12r + 12

Answer 2

Explanation:

To simplify the expression (2r-2)(-r-7), we can use the distributive property, which states that a(b+c) = ab + ac.

First, we'll distribute the -r from the second set of parentheses to the -2 and 7:

(2r-2)(-r-7) = (2r-2)(-r) + (2r-2)(-7)

Next, we'll multiply 2r and -r, and 2r and -7:

(2r-2)(-r) + (2r-2)(-7) = -2r^2 + 2r + 14r - 14

Finally, we'll combine like terms:

-2r^2 + 2r + 14r - 14 = -2r^2 + 16r - 14

So, (2r-2)(-r-7) = -2r^2 + 16r - 14.