Combine 2/(n^2)+6/n

Math
2n2+6n
To write 6n as a fraction with a common denominator, multiply by nn.
2n2+6n⋅nn
Write each expression with a common denominator of n2, by multiplying each by an appropriate factor of 1.
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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+6n.
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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

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