How can I simplify this fraction: (x+2)/(x-1) * (4x+1)/(x-1)?

[DLxX]

\frac {x+2} {x-1} \frac \frac {4x+1} {x-1}

Would using the bowtie method work? Cross multiply and then subtract the two answers found from each other, and put that result over the multiplaction of the two denominators. ?

EDIT: I messed up the Latex thing. THe 4x-1 and the x-1 are supposed to be a fraction under the x+2/x-1

 

[HallsofIvy]

So you mean

\frac{\frac{x+2}{x-1}}\frac{4x+1}{x-1}}
?

You learned how to divide fractions in the fourth grade: invert the denominator and multiply. This is:
\frac{x+2}{x-1}*\frac{x-1}{4x+1}

Can you reduce that?

 

[Jameson]

Agreed. Dividing is the same as multiplying by the reciprocal. So when you do this the x - 1's cancel out.