Factorising expressions can sometimes be the key to further simplification of algebraic fractions.

In this worksheet, we will be using factors to simplify algebraic fractions.

**Example**

Simplify the following algebraic fraction by first factorising the top or the bottom.

3x^{4 }- 6x^{2}^{
} |

x^{2} - 2 |

**Answer**

Factorise the top to get

3x^{2 }(x^{2}- 2)^{
} |

x^{2} - 2 |

Divide top and bottom by x^{2} - 2 to get

3x^{2 }^{2}- 2)^{
} |

^{2} - 2 |

Simplify to get the answer

**3x ^{2}**