Divide (9p^6+18p^5)/(3p)

Math
9p6+18p53p
Factor 9p5 out of 9p6+18p5.
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Factor 9p5 out of 9p6.
9p5(p)+18p53p
Factor 9p5 out of 18p5.
9p5(p)+9p5(2)3p
Factor 9p5 out of 9p5(p)+9p5(2).
9p5(p+2)3p
9p5(p+2)3p
Cancel the common factor of 9 and 3.
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Factor 3 out of 9p5(p+2).
3(3p5(p+2))3p
Cancel the common factors.
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Factor 3 out of 3p.
3(3p5(p+2))3(p)
Cancel the common factor.
3(3p5(p+2))3p
Rewrite the expression.
3p5(p+2)p
3p5(p+2)p
3p5(p+2)p
Cancel the common factor of p5 and p.
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Factor p out of 3p5(p+2).
p(3p4(p+2))p
Cancel the common factors.
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Raise p to the power of 1.
p(3p4(p+2))p1
Factor p out of p1.
p(3p4(p+2))p⋅1
Cancel the common factor.
p(3p4(p+2))p⋅1
Rewrite the expression.
3p4(p+2)1
Divide 3p4(p+2) by 1.
3p4(p+2)
3p4(p+2)
3p4(p+2)
Apply the distributive property.
3p4p+3p4⋅2
Multiply p4 by p by adding the exponents.
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Move p.
3(p⋅p4)+3p4⋅2
Multiply p by p4.
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Raise p to the power of 1.
3(p1p4)+3p4⋅2
Use the power rule aman=am+n to combine exponents.
3p1+4+3p4⋅2
3p1+4+3p4⋅2
Add 1 and 4.
3p5+3p4⋅2
3p5+3p4⋅2
Multiply 2 by 3.
3p5+6p4
Divide (9p^6+18p^5)/(3p)

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