Choose the correct simplification of the expression (-2x + 10y)(4x - 6y).

Solution:

The expression (-2x + 10y)(4x - 6y) can be alternatively be expressed as:

(-2x)(4x) + (10y)(-6y) + (10y)(4x) + (-2x)(-6y)

=-8x² - 60y² + 40xy +12xy

= -8x² + 52xy - 60y²

Another example of simplification could be (3x + 5y - 3z)(3x - 5y + 3z)

The above expression could be expressed as :

(3x)(3x) + (3x)(-5y) + (3x)(3z) + (5y)(3x) + (5y)(-5y) + (5y)(3z) + (-3z)(3x) + (-3z)(-5y) + (-3z)(3z)

9x² -15xy + 9xz + 15xy - 25y² + 15yz - 9xz + 15yz - 9z²

9x² - 25y² - 9z² -15xy + 15xy + 15yz + 15yz

9x² - 25y² - 9z² + 30 yz

Choose the correct simplification of the expression (-2x + 10y)(4x - 6y).

Summary:

The correct simplification of the expression (-2x + 10y)(4x - 6y) is  -8x² + 52xy - 60y²