Choose the correct simplification of the expression (-2x + 8y)(9x - 3y).
-18x² + 78xy - 24y²
18x² + 78xy - 24y²
-18x² - 78xy + 24y²
-18x² + 72xy - 24y²

Solution:

Given expression (-2x + 8y)(9x - 3y)

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

By using distributive property, we get

⇒ -18x² + 6xy + 72xy - 24y²

⇒ -18x² + 78xy - 24y²

The correct simplification of the expression (-2x + 8y)(9x - 3y) is -18x² + 78xy - 24y².

Choose the correct simplification of the expression (-2x + 8y)(9x - 3y).

Summary:

The correct simplification of the expression (-2x + 8y)(9x - 3y) is -18x² + 78xy - 24y².