# Divide (18r^5+36r^4+27r^3)÷9r

(18r5+36r4+27r3)÷9r
Rewrite the division as a fraction.
18r5+36r4+27r39r
Factor 9r3 out of 18r5+36r4+27r3.
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 of 9.
Cancel the common factor.
9r3(2r2+4r+3)9r
Rewrite the expression.
r3(2r2+4r+3)r
r3(2r2+4r+3)r
Cancel the common factor of r3 and 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
Simplify.
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
Simplify each term.
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
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