MATH SOLVE

3 months ago

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

Accepted Solution

A:

Answer:[tex] - 6 {x}^{2} + 26xy - 28 {y}^{2} [/tex]Step-by-step explanation:The given expresion is: (−2x + 4y)(3x − 7y)We expand using the distributive property: (a+b)(c+d)=a(c+d)+b(c+d)We apply this property to get:[tex]( - 2x + 4y)(3x - 7y) = - 2x \times(3x - 7y) + 4y(3x - 7y)[/tex]We expand further to obtain:[tex] - 6 {x}^{2} + 14xy + 12xy - 28 {y}^{2} [/tex][tex] - 6 {x}^{2} + 26xy - 28{y}^{2} [/tex]