3n+1n+1+2n+1

Combine the numerators over the common denominator.

3n+1+2n+1

Add 1 and 2.

3n+3n+1

Factor 3 out of 3n+3.

Factor 3 out of 3n.

3(n)+3n+1

Factor 3 out of 3.

3(n)+3(1)n+1

Factor 3 out of 3(n)+3(1).

3(n+1)n+1

3(n+1)n+1

Reduce the expression by cancelling the common factors.

Reduce the expression 3(n+1)n+1 by cancelling the common factors.

Cancel the common factor.

3(n+1)n+1

Rewrite the expression.

31

31

Divide 3 by 1.

3

3

3

Factor (3n+1)/(n+1)+2/(n+1)