Help with dividing fractions

[bilbo95]

Express as a single fraction in its simplest form:



I have been trying to work this out for a while,

Don't know how to start at all.

Could somebody please help me?

Thanks,

bilbo95

 

[Deleted member 4993]

Totally forgot how to do this. Do not know where even to start.

Express as a single fraction in its simplest form:

View attachment 23517

Thank you so much.

First "simplify" the expression within the parentheses.

 

[Dr.Peterson]

After combining the fractions inside the parentheses using a common denominator, I'd want to try factoring the parts of the other fraction. Since it's hard to factor a cubic (and it turns out this one can't be factored), I'd just look for useful factors, by dividing it by factors it could cancel with. If they don't work, then it doesn't matter.

If you need more help, please show some work so we can see what's needed.

 

[JeffM]

Check that you wrote the expression correctly. This looks ugly.

 

[Deleted member 4993]

Especially the term:

6x³ - 17x + 5

Per chance could that be:

6x² - 17x + 5

 

[Cubist]

After following the advice above, I would reciprocate the right hand side and swap the divide for a multiply:-

[math] a\div\frac{b}{c}=a\times\frac{c}{b}[/math]