Choose the correct simplification of the expression (-2x + 4y)(3x - 7y). 
-6x² - 2xy - 28y²
6x² + 26xy - 28y²
-6x² + 26xy + 28y²
-6x² + 26xy - 28y²

Solution:

Given expression is

(-2x + 4y)(3x - 7y).

Using distributive property, we get

= (-2x)(3x) + (-2x)(-7y) + 4y(3x) + 4y(-7y)

= -6x² + 14xy + 12xy - 28y²

= -6x² + 26xy - 28y²

This is the simplified expression

Choose the correct simplification of the expression (-2x + 4y)(3x - 7y).

Summary:

The correct simplification of the expression (-2x + 4y)(3x - 7y) is -6x² + 26xy - 28y².