Question

Simplify the expression: 2x-5-x-8/x+4

Answer 1

$2x-5-\dfrac{x-8}{x+4}=\dfrac{(2x-5)(x+4)}{x+4}-\dfrac{x-8}{x+4}\\\\=\dfrac{(2x)(x)+(2x)(4)+(-5)(x)+(-5)(4)-x-(-8)}{x+4}\\\\=\dfrac{2x^2+8x-5x-20-x+8}{x+4}=\dfrac{2x^2+2x-12}{x+4}$