How do you simplify #(1)/(x) - (2)/(x^2 + x) + (3)/(x^3 - x^2)#?
1 Answer
The key to this is to make the denominator the same for all 3 fractions. For this, you have to find the least common multiple of the 3 denominators.
First denominator is just
Second denominator is
Third denominator is
The least common multiple is
For first fraction to have the least common multiple as the denominator we multiply both the numerator and the denominator by
For second fraction we multiply both the numerator and the denominator by
For third fraction we multiply both the numerator and the denominator by
Putting all these together: