Question

Subtract: 6/2x^+8x - x/4x^+12x-16 = 6/2x(x+4) - x/4(x+4)(x-1) = 6•2(x-1)/2x(x+4)•2(x-1) - x•x/4(x+4)(x-1)•x

Answer 1

`$(-x^2+12x-12)/(4x(x+4)(x-1))$`

Explanation:

`$(6)/(2x(x+4))- (x)/(4(x+4)(x-1)) $`

`$(6\cdot2(x-1))/(2x(x+4)\cdot2(x-1))- (x\cdot x)/(4(x+4)(x-1)x) $`

`$(12(x-1))/(4x(x+4)(x-1))- (x^2)/(4x(x+4)(x-1)) $`

`$(12(x-1)-x^2)/(4x(x+4)(x-1))$`

`$(-x^2+12x-12)/(4x(x+4)(x-1))$`