I'll show you how to do this two different ways. It is worth seeing both, because they are both useful. You can decide which is easier ;-)
I take the top expression (numerator) and turn it into a single fraction with denominator x.
We do likewise with the bottom expression (denominator):
So the question has become:
We think of the right side as a division of the top by the bottom:
To divide by a fraction, you multiply by the reciprocal:
The x's cancelled out, and we have our final answer, which cannot be simplified any more.
I recognise that I have "/x" in both the numerator and denominator. So if I just multiply top and bottom by x, it will simplify everything by removing the fractions on top and bottom.
I am really just multiplying by "1" and not changing the original value of the fraction - just changing its form.
So I multiply each element of the top by x and each element of the bottom by x and I get:
I cannot simplify any further.
Get the Daily Math Tweet!
IntMath on Twitter