The difference between the given fractions is (-2x+12)/(x²-16).
Given that, (x/x²-16) - (3/x-4).
We need to find the difference between the given fractions.
How to subtract the fractions?
To subtract the fractions follow these steps:
- If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator. To do this, you need to find the least common multiple (LCM) of the two denominators.
- To subtract fractions with unlike denominators, rename the fractions with a common denominator. Then subtract and simplify.
Now, the LCM of denominators x²-16 and x-4 is x²-16.
Then, (x/x²-16) - (3(x+4)/(x-4)(x+4)
=(x/x²-16) - (3x+12)/(x²-16)
=x-(3x+12)/(x²-16)
=(x-3x+12)/(x²-16)
=(-2x+12)/(x²-16)
Therefore, the difference between the given fractions is (-2x+12)/(x²-16).
To learn more about the subtraction of fractions visit:
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