simplify.

1. (x^2+3)/x^2 + (x-1)/5

I get (x+2)/5, is this correct?

Printable View

- Nov 9th 2008, 08:02 AMwilliamrational expression
simplify.

1. (x^2+3)/x^2 + (x-1)/5

I get (x+2)/5, is this correct? - Nov 9th 2008, 08:05 AMmasters
- Nov 9th 2008, 08:08 AMwilliam
- Nov 9th 2008, 08:31 AMmasters
I don't know how you arrived at your conclusion so I don't know where to correct you. If you're simplifying by putting everything over one denominator, then we need an LCD.

That would be $\displaystyle 5x^2$

$\displaystyle \frac{x^2+3}{x^2}+\frac{x-1}{5}=\frac{5x^2\left(\frac{x^2+3}{x^2}\right)+5x^ 2\left(\frac{x-1}{5}\right)}{5x^2}=\frac{5x^2+15+x^3-x^2}{5x^2}=\frac{x^3-4x^2+15}{5x^2}$