express the answer from the equation 4x-3 (x-2y)+1/2 (6x-8y) as an equivalent expression in factored form

Question

Express the answer from the equation 4x-3 (x-2y)+1/2 (6x-8y) as an equivalent expression in factored form.

Answer 1

4x - 3(x - 2y) + (1/2)(6x - 8y) =

 

4x - 3x + 6y  + 3x - 4y =

 

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

Answer 2

Hi Jessica;

4x-3 (x-2y)+1/2 (6x-8y)

Let's distribute...

4x-3x+6y+3x-4y

Let's combine like terms...

4x+2y

2(2x+y)