Basic Math Examples

Multiply (2p^4-p^3+7p)(-6p^2-3p)
Step 1
Expand by multiplying each term in the first expression by each term in the second expression.
Step 2
Simplify terms.
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Step 2.1
Simplify each term.
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Step 2.1.1
Rewrite using the commutative property of multiplication.
Step 2.1.2
Multiply by by adding the exponents.
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Step 2.1.2.1
Move .
Step 2.1.2.2
Use the power rule to combine exponents.
Step 2.1.2.3
Add and .
Step 2.1.3
Multiply by .
Step 2.1.4
Rewrite using the commutative property of multiplication.
Step 2.1.5
Multiply by by adding the exponents.
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Step 2.1.5.1
Move .
Step 2.1.5.2
Multiply by .
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Step 2.1.5.2.1
Raise to the power of .
Step 2.1.5.2.2
Use the power rule to combine exponents.
Step 2.1.5.3
Add and .
Step 2.1.6
Multiply by .
Step 2.1.7
Rewrite using the commutative property of multiplication.
Step 2.1.8
Multiply by by adding the exponents.
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Step 2.1.8.1
Move .
Step 2.1.8.2
Use the power rule to combine exponents.
Step 2.1.8.3
Add and .
Step 2.1.9
Multiply by .
Step 2.1.10
Rewrite using the commutative property of multiplication.
Step 2.1.11
Multiply by by adding the exponents.
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Step 2.1.11.1
Move .
Step 2.1.11.2
Multiply by .
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Step 2.1.11.2.1
Raise to the power of .
Step 2.1.11.2.2
Use the power rule to combine exponents.
Step 2.1.11.3
Add and .
Step 2.1.12
Multiply by .
Step 2.1.13
Rewrite using the commutative property of multiplication.
Step 2.1.14
Multiply by by adding the exponents.
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Step 2.1.14.1
Move .
Step 2.1.14.2
Multiply by .
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Step 2.1.14.2.1
Raise to the power of .
Step 2.1.14.2.2
Use the power rule to combine exponents.
Step 2.1.14.3
Add and .
Step 2.1.15
Multiply by .
Step 2.1.16
Rewrite using the commutative property of multiplication.
Step 2.1.17
Multiply by by adding the exponents.
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Step 2.1.17.1
Move .
Step 2.1.17.2
Multiply by .
Step 2.1.18
Multiply by .
Step 2.2
Combine the opposite terms in .
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Step 2.2.1
Add and .
Step 2.2.2
Add and .