Question

Simplify 4х+ 2-

+8-12
О
3х - 2
3х + 4
о
5х – 4
5х + 4


Can someone please help!!! I really need the answer

Answer 1

3x - 2

Explanation:

`4x + 2 - \frac{ {x}^(2) + x - 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}^(2) + 4x - 3x- 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}(x + 4) - 3(x + 4)}{x - 3} \\ \\ = 4x + 2 - \frac{ (x + 4) \cancel{(x- 3)}}{\cancel{(x- 3)}} \\ \\ = 4x + 2 - (x + 4) \\ \\ = 4x + 2 - x - 4 \\ \\ = 4x - x + 2 - 4 \\ \\ = 3x - 2`