# Thread: Simplifying

1. ## Simplifying

$(x^2)/(1+x^2) = (1- (1/(1+x^2))$

Why is this so?

2. $1- \frac{1}{1+x^2} = \frac{1+x^2}{1+x^2}- \frac{1}{1+x^2} = \frac{1+x^2-1}{1+x^2} = \frac{x^2}{1+x^2}$

3. Thanks. I never thought about adding or subtracting one.

4. Originally Posted by KyleC
$(x^2)/(1+x^2) = (1- (1/(1+x^2))$

Why is this so?
To go from the left-hand side to the right-hand side, turn the divisor around to get $x^2\, +\, 1$, and then do the long division on $x^2\, +\, 0x\, +\, 0$.