(12v4+8v3+32)÷4v

Rewrite the division as a fraction.

12v4+8v3+324v

Factor 4 out of 12v4.

4(3v4)+8v3+324v

Factor 4 out of 8v3.

4(3v4)+4(2v3)+324v

Factor 4 out of 4(3v4)+4(2v3).

4(3v4+2v3)+324v

Factor 4 out of 32.

4(3v4+2v3)+4⋅84v

Factor 4 out of 4(3v4+2v3)+4(8).

4(3v4+2v3+8)4v

Cancel the common factors.

Factor 4 out of 4v.

4(3v4+2v3+8)4(v)

Cancel the common factor.

4(3v4+2v3+8)4v

Rewrite the expression.

3v4+2v3+8v

3v4+2v3+8v

3v4+2v3+8v

Split the fraction 3v4+2v3+8v into two fractions.

3v4+2v3v+8v

Split the fraction 3v4+2v3v into two fractions.

3v4v+2v3v+8v

Factor v out of 3v4.

v(3v3)v+2v3v+8v

Cancel the common factors.

Raise v to the power of 1.

v(3v3)v1+2v3v+8v

Factor v out of v1.

v(3v3)v⋅1+2v3v+8v

Cancel the common factor.

v(3v3)v⋅1+2v3v+8v

Rewrite the expression.

3v31+2v3v+8v

Divide 3v3 by 1.

3v3+2v3v+8v

3v3+2v3v+8v

3v3+2v3v+8v

Factor v out of 2v3.

3v3+v(2v2)v+8v

Cancel the common factors.

Raise v to the power of 1.

3v3+v(2v2)v1+8v

Factor v out of v1.

3v3+v(2v2)v⋅1+8v

Cancel the common factor.

3v3+v(2v2)v⋅1+8v

Rewrite the expression.

3v3+2v21+8v

Divide 2v2 by 1.

3v3+2v2+8v

3v3+2v2+8v

3v3+2v2+8v

Divide (12v^4+8v^3+32)÷4v