Question

Take the derivative of the following function:
y= (x^2-3x)/(sqr[x+1])

I tried this using both the product rule and the quotient rule:

Y:(x^2-3x)*(x+1)^(-1/2)
=(2x-3)(x+1)^(-1/2)-1/2(x+1)^(-3/2)(x^2-3X)

or

Y:(x^2-3x)/(x+1)^(1/2)
=(2x-3)(x+1)^(-1/2)-1/2(x+1)^(-1/2)(x^2-3X)

Why do I get 2 different results? Shouldn't both expression have either (x+1)^(-1/2) or (x+1)^(-3/2)?