# Math Help - Simplifying rational expressions 1

1. ## Simplifying rational expressions 1

$\frac{x-1}{x^{\frac{3}{4}}+x^{\frac{1}{2}}}\cdot\frac{x^{\ frac{1}{2}}+x^{\frac{1}{4}}}{x^{\frac{1}{2}}+1}\cd ot x^{\frac{1}{4}}+1$

How it begins?

2. $\dfrac{x-1}{x^{\frac{3}{4}}+x^{\frac{1}{2}}}\cdot\dfrac{x^{ \frac{1}{2}}+x^{\frac{1}{4}}}{x^{\frac{1}{2}}+1}\c dot x^{\frac{1}{4}}+1$

Factorise where you can, and you'll see some terms crossing out.

For example:

$x^\frac34 + x^\frac12 = x^\frac34 + x^\frac24 = x^\frac24(x^\frac14 + 1)$