# ACT Aspire Math: Simplifying a Rational Expression

What is the simplified form of the expression ?

ACT Aspire | Math |

ACT Aspire Math | Algebra |

Math | Algebra |

Product Type | ACT Aspire |

Test Prep | ACT Aspire ACT Aspire Math |

### Transcript

mind whatever Start by factoring the numerator and denominator in

this case factor both by grouping well in the numerator

The first two terms have the common factor three y

and the second two terms have a common factor negative

for well in the denominator The first two terms have

the common factor to x and second new terms have

a common factor Negative one So that was conveniently factor

x squared minus three from both terms in the numerator

and three y minus four from both terms And the

denominator there yes so that's what it looks like And

then finally we just cancel the common factor three y

minus four and that's what it ends up with the

x word by three over two x minus one And

let's really it This expression can't be factored any further

Noah Seriously that's for the factoring It's factored or done

Answer is e