Simplify (20p^9+15p^5)/(5p)

Math
20p9+15p55p
Simplify terms.
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Factor 5p5 out of 20p9+15p5.
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Factor 5p5 out of 20p9.
5p5(4p4)+15p55p
Factor 5p5 out of 15p5.
5p5(4p4)+5p5(3)5p
Factor 5p5 out of 5p5(4p4)+5p5(3).
5p5(4p4+3)5p
5p5(4p4+3)5p
Cancel the common factor of 5.
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Cancel the common factor.
5p5(4p4+3)5p
Rewrite the expression.
p5(4p4+3)p
p5(4p4+3)p
Cancel the common factor of p5 and p.
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Factor p out of p5(4p4+3).
p(p4(4p4+3))p
Cancel the common factors.
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Raise p to the power of 1.
p(p4(4p4+3))p1
Factor p out of p1.
p(p4(4p4+3))p⋅1
Cancel the common factor.
p(p4(4p4+3))p⋅1
Rewrite the expression.
p4(4p4+3)1
Divide p4(4p4+3) by 1.
p4(4p4+3)
p4(4p4+3)
p4(4p4+3)
Apply the distributive property.
p4(4p4)+p4⋅3
Reorder.
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Rewrite using the commutative property of multiplication.
4p4p4+p4⋅3
Move 3 to the left of p4.
4p4p4+3⋅p4
4p4p4+3⋅p4
4p4p4+3⋅p4
Multiply p4 by p4 by adding the exponents.
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Move p4.
4(p4p4)+3⋅p4
Use the power rule aman=am+n to combine exponents.
4p4+4+3⋅p4
Add 4 and 4.
4p8+3⋅p4
4p8+3p4
Simplify (20p^9+15p^5)/(5p)

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