6n-3+nn+3

To write 6n-3 as a fraction with a common denominator, multiply by n+3n+3.

6n-3⋅n+3n+3+nn+3

To write nn+3 as a fraction with a common denominator, multiply by n-3n-3.

6n-3⋅n+3n+3+nn+3⋅n-3n-3

Multiply 6n-3 and n+3n+3.

6(n+3)(n-3)(n+3)+nn+3⋅n-3n-3

Multiply nn+3 and n-3n-3.

6(n+3)(n-3)(n+3)+n(n-3)(n+3)(n-3)

Reorder the factors of (n-3)(n+3).

6(n+3)(n+3)(n-3)+n(n-3)(n+3)(n-3)

6(n+3)(n+3)(n-3)+n(n-3)(n+3)(n-3)

Combine the numerators over the common denominator.

6(n+3)+n(n-3)(n+3)(n-3)

Apply the distributive property.

6n+6⋅3+n(n-3)(n+3)(n-3)

Multiply 6 by 3.

6n+18+n(n-3)(n+3)(n-3)

Apply the distributive property.

6n+18+n⋅n+n⋅-3(n+3)(n-3)

Multiply n by n.

6n+18+n2+n⋅-3(n+3)(n-3)

Move -3 to the left of n.

6n+18+n2-3⋅n(n+3)(n-3)

Subtract 3n from 6n.

3n+18+n2(n+3)(n-3)

Reorder terms.

n2+3n+18(n+3)(n-3)

n2+3n+18(n+3)(n-3)

Simplify 6/(n-3)+n/(n+3)