General Question C3

Is $\dfrac{2x}{x^2+1}$

The same as $\dfrac{2}{x+1}$?

if not, which i think it's not. Why cant you simplify the first equation into the second equations?

No it isn't. If you divide the top by x, you'd have to divide the whole of the bottom by x, which wouldn't give x+1 at the bottom.

At some point (can't remember if it's C3 or C4), you'll learn how to split the first fraction into two fractions (the form $\dfrac{a}{bx+c}$ + $\dfrac{d}{ex+f}$. This topic is called "Partial fractions".

Nope.

x isn't a factor of the whole bottom line but rather just the square part of it.

C'mon ez GCSE stuff here

Thats C4

No it isn't. If you divide the top by x, you'd have to divide the whole of the bottom by x, which wouldn't give x+1 at the bottom.

At some point (can't remember if it's C3 or C4), you'll learn how to split the first fraction into two fractions (the form $\dfrac{a}{bx+c}$ + $\dfrac{d}{ex+f}$. This topic is called "Partial fractions".

Thats C4

Is $\dfrac{2x}{x^2+1}$

The same as $\dfrac{2}{x+1}$?

if not, which i think it's not. Why cant you simplify the first equation into the second equations?