Simplify 1/t-1/(t^2+t)

Problem

1/t−1/(t2+t)

Solution

1. Factor the denominator of the second fraction by taking out the greatest common factor t

1/t−1/(t*(t+1))

2. Find a common denominator for the two fractions, which is t*(t+1)

(1⋅(t+1))/(t*(t+1))−1/(t*(t+1))

3. Combine the numerators over the common denominator.

(t+1−1)/(t*(t+1))

4. Simplify the numerator by subtracting the constants.

t/(t*(t+1))

5. Cancel the common factor t from the numerator and the denominator, assuming t≠0

1/(t+1)

Final Answer

1/t−1/(t2+t)=1/(t+1)

Want more problems? Check here!