## Spartan_Of_Ares Group Title can some one help me with 7 rational expressions? one year ago one year ago

1. Spartan_Of_Ares

$\frac{ x+2 }{ (x-4)^{2} }- \frac{ x }{x-4 }$ this is my first one

2. Spartan_Of_Ares

hey @Hero can you help me out?

3. Hero

Hint: Multiply the second fraction by (x-4)/(x-4)

4. Spartan_Of_Ares

$\frac{ x^2-4 }{ x^2-16 }?$

5. Spartan_Of_Ares

@Hero is this right?

6. Hero

No, it's not

7. Spartan_Of_Ares

how would i go about doing this?

8. Hero

I'm only going to show you this once.

9. Hero

$\space\space\space\space\frac{x + 2}{(x - 4)^2} - \frac{x}{x-4}$$=\frac{x + 2}{(x - 4)^2} - \frac{x}{x-4} \times\frac{x-4}{x-4}$$=\frac{x + 2}{(x - 4)^2} - \frac{x(x-4)}{x-4(x-4)}$$=\frac{x + 2}{(x - 4)^2} - \frac{x^2-4x}{(x-4)^2}$$=\frac{(x + 2) - (x^2 - 4x)}{(x-4)^2}$$=\frac{x + 2 - x^2 + 4x}{(x-4)^2}$$=\frac{-x^2 + 4x + x + 2}{(x-4)^2}$$=\frac{-x^2 + 5x + 2}{(x-4)^2}$$=\frac{-(x^2 - 5x - 2)}{(x-4)^2}$$=-\frac{x^2 - 5x - 2}{(x-4)^2}$

10. Spartan_Of_Ares

thanks allot for the help!