could someone help me with math?

Question

Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box.

 

(r²-5r)/(r³-3r²-10r)

Answer 1

Hi Jared,

 

Let's factor both expressions first.

 

r²-5r = r(r-5)

r³-3r²-10r = r(r²-3r-10) = r(r-5)(r+2)

 

And now let's substitute these factors into the original expression.

 

    r(r-5)

-------------

r(r-5)(r+2)

 

In this form, we can see that there is both an r and an r-5 term in both the numerator and denominator

 

So the expression reduces to

 

    1

-------

 (r+2)