What is the least common denominator of the rational expression: #5/x^2 - 3/(6x^2 + 12x)#?
The first fraction is set, yet the second one needs simplifying- which I missed pre-edit.
The second term is not in minimal terms: there is a factor
You now can use the formula
Hence your difference becomes
To adjust the fractions to common denominators so the terms can be combined, you would want to multiply each fraction by the number 1 in the form of the other fraction's denominator. I notice that 6x^2+12x can be factored to 6x(x+2) and x^2 is x*x, So, and x is already in common.
The left fraction, we would multiply the top and bottom by 6x+12, and the right fraction by x.