2n2+6n
To write 6n as a fraction with a common denominator, multiply by nn.
2n2+6n⋅nn
Multiply 6n and nn.
2n2+6nn⋅n
Raise n to the power of 1.
2n2+6nn1n
Raise n to the power of 1.
2n2+6nn1n1
Use the power rule aman=am+n to combine exponents.
2n2+6nn1+1
Add 1 and 1.
2n2+6nn2
2n2+6nn2
Combine the numerators over the common denominator.
2+6nn2
Factor 2 out of 2.
2(1)+6nn2
Factor 2 out of 6n.
2(1)+2(3n)n2
Factor 2 out of 2(1)+2(3n).
2(1+3n)n2
2(1+3n)n2
Combine 2/(n^2)+6/n