(18r5+36r4+27r3)÷9r

Rewrite the division as a fraction.

18r5+36r4+27r39r

Factor 9r3 out of 18r5.

9r3(2r2)+36r4+27r39r

Factor 9r3 out of 36r4.

9r3(2r2)+9r3(4r)+27r39r

Factor 9r3 out of 27r3.

9r3(2r2)+9r3(4r)+9r3(3)9r

Factor 9r3 out of 9r3(2r2)+9r3(4r).

9r3(2r2+4r)+9r3(3)9r

Factor 9r3 out of 9r3(2r2+4r)+9r3(3).

9r3(2r2+4r+3)9r

9r3(2r2+4r+3)9r

Cancel the common factor.

9r3(2r2+4r+3)9r

Rewrite the expression.

r3(2r2+4r+3)r

r3(2r2+4r+3)r

Factor r out of r3(2r2+4r+3).

r(r2(2r2+4r+3))r

Cancel the common factors.

Raise r to the power of 1.

r(r2(2r2+4r+3))r1

Factor r out of r1.

r(r2(2r2+4r+3))r⋅1

Cancel the common factor.

r(r2(2r2+4r+3))r⋅1

Rewrite the expression.

r2(2r2+4r+3)1

Divide r2(2r2+4r+3) by 1.

r2(2r2+4r+3)

r2(2r2+4r+3)

r2(2r2+4r+3)

Apply the distributive property.

r2(2r2)+r2(4r)+r2⋅3

Rewrite using the commutative property of multiplication.

2r2r2+r2(4r)+r2⋅3

Rewrite using the commutative property of multiplication.

2r2r2+4r2r+r2⋅3

Move 3 to the left of r2.

2r2r2+4r2r+3⋅r2

2r2r2+4r2r+3⋅r2

Multiply r2 by r2 by adding the exponents.

Move r2.

2(r2r2)+4r2r+3⋅r2

Use the power rule aman=am+n to combine exponents.

2r2+2+4r2r+3⋅r2

Add 2 and 2.

2r4+4r2r+3⋅r2

2r4+4r2r+3⋅r2

Multiply r2 by r by adding the exponents.

Move r.

2r4+4(r⋅r2)+3⋅r2

Multiply r by r2.

Raise r to the power of 1.

2r4+4(r1r2)+3⋅r2

Use the power rule aman=am+n to combine exponents.

2r4+4r1+2+3⋅r2

2r4+4r1+2+3⋅r2

Add 1 and 2.

2r4+4r3+3⋅r2

2r4+4r3+3r2

2r4+4r3+3r2

Divide (18r^5+36r^4+27r^3)÷9r