5+5k4+1+k8

Factor 5 out of 5.

5⋅1+5k4+1+k8

Factor 5 out of 5⋅1+5k.

5(1+k)4+1+k8

5(1+k)4+1+k8

To write 5(1+k)4 as a fraction with a common denominator, multiply by 22.

5(1+k)4⋅22+1+k8

Multiply 5(1+k)4 and 22.

5(1+k)⋅24⋅2+1+k8

Multiply 4 by 2.

5(1+k)⋅28+1+k8

5(1+k)⋅28+1+k8

Combine the numerators over the common denominator.

5(1+k)⋅2+1+k8

Apply the distributive property.

(5⋅1+5k)⋅2+1+k8

Multiply 5 by 1.

(5+5k)⋅2+1+k8

Apply the distributive property.

5⋅2+5k⋅2+1+k8

Multiply 5 by 2.

10+5k⋅2+1+k8

Multiply 2 by 5.

10+10k+1+k8

Add 10 and 1.

10k+11+k8

Add 10k and k.

11k+118

Factor 11 out of 11k+11.

Factor 11 out of 11k.

11(k)+118

Factor 11 out of 11.

11(k)+11(1)8

Factor 11 out of 11(k)+11(1).

11(k+1)8

11(k+1)8

11(k+1)8

Simplify (5+5k)/4+(1+k)/8