Divide (8p^5+24p^4)/(4p)

Math
8p5+24p44p
Factor 8p4 out of 8p5+24p4.
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Factor 8p4 out of 8p5.
8p4(p)+24p44p
Factor 8p4 out of 24p4.
8p4(p)+8p4(3)4p
Factor 8p4 out of 8p4(p)+8p4(3).
8p4(p+3)4p
8p4(p+3)4p
Cancel the common factor of 8 and 4.
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Factor 4 out of 8p4(p+3).
4(2p4(p+3))4p
Cancel the common factors.
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Factor 4 out of 4p.
4(2p4(p+3))4(p)
Cancel the common factor.
4(2p4(p+3))4p
Rewrite the expression.
2p4(p+3)p
2p4(p+3)p
2p4(p+3)p
Cancel the common factor of p4 and p.
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Factor p out of 2p4(p+3).
p(2p3(p+3))p
Cancel the common factors.
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Raise p to the power of 1.
p(2p3(p+3))p1
Factor p out of p1.
p(2p3(p+3))p⋅1
Cancel the common factor.
p(2p3(p+3))p⋅1
Rewrite the expression.
2p3(p+3)1
Divide 2p3(p+3) by 1.
2p3(p+3)
2p3(p+3)
2p3(p+3)
Apply the distributive property.
2p3p+2p3⋅3
Multiply p3 by p by adding the exponents.
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Move p.
2(p⋅p3)+2p3⋅3
Multiply p by p3.
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Raise p to the power of 1.
2(p1p3)+2p3⋅3
Use the power rule aman=am+n to combine exponents.
2p1+3+2p3⋅3
2p1+3+2p3⋅3
Add 1 and 3.
2p4+2p3⋅3
2p4+2p3⋅3
Multiply 3 by 2.
2p4+6p3
Divide (8p^5+24p^4)/(4p)

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