Preform the operations and simplifying

[powp]

Hello

I have to preform the operations and simplifying it.

This is what i have

$$\frac{1}{x}+\frac{1}{x-2}+\frac{3}{(x-2)^2}$$

$$=\frac{3x^2-7x+8}{x(x-2)(x-2)}$$

Is this correct?? Where do I go from here?

Thanks

P

 

[whozum]

$$\frac{1}{x}+\frac{1}{x-2}+\frac{3}{(x-2)^2}$$

$$\frac{(x-2)^2}{x(x-2)^2} + \frac{x(x-2)}{x(x-2)^2} + \frac{3x}{x(x-2)^2}$$

$$\frac{3x+(x-2)x+(x-2)^2}{(x-2)^2}$$

The top can be 'factored' taking a = 1, b = x, c = 3x and y = (x-2)

 

[powp]

I made a mistake when typing the question.

$$\frac{2}{x}+\frac{1}{x-2}+\frac{3}{(x-2)^2}$$

what do you mean by "The top can be 'factored' taking a = 1, b = x, c = 3x and y = (x-2)"??

Thanks for your help!

 

[whozum]

$$\frac{3x+(x-2)x+2(x-2)^2}{(x-2)^2}$$


$$3x+(x-2)x+2(x-2)^2$$ can be factored if you want it to be, but it depends on what your trying to do.