Question

How do you simplify `-6x ( x - 2) + 2x ^ { 2} - 5x + 4`?

Answer 1

`=-4x^2 +7x +4`

Explanation:

`-6x (x-2)+2x^2 -5x+4`
Use the distributive property
`=(-6x)(x)+(-6x)(-2)+2x^2 -5x+4`
`=-6x^2 +12x +2x^2 -5x+4`
Combine like terms
`=-6x^2 +2x^2 + 12x-5x+4`
`=-4x^2 +7x +4`