Basic Math Examples

Simplify (3y^2+2y+1)(y^3-4y^2+7y)(2y^3-y^2-8y+5)
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
Multiply by by adding the exponents.
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Step 2.1.1.1
Move .
Step 2.1.1.2
Use the power rule to combine exponents.
Step 2.1.1.3
Add and .
Step 2.1.2
Rewrite using the commutative property of multiplication.
Step 2.1.3
Multiply by by adding the exponents.
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Step 2.1.3.1
Move .
Step 2.1.3.2
Use the power rule to combine exponents.
Step 2.1.3.3
Add and .
Step 2.1.4
Multiply by .
Step 2.1.5
Rewrite using the commutative property of multiplication.
Step 2.1.6
Multiply by by adding the exponents.
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Step 2.1.6.1
Move .
Step 2.1.6.2
Multiply by .
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Step 2.1.6.2.1
Raise to the power of .
Step 2.1.6.2.2
Use the power rule to combine exponents.
Step 2.1.6.3
Add and .
Step 2.1.7
Multiply by .
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
Multiply by .
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Step 2.1.8.2.1
Raise to the power of .
Step 2.1.8.2.2
Use the power rule to combine exponents.
Step 2.1.8.3
Add and .
Step 2.1.9
Rewrite using the commutative property of multiplication.
Step 2.1.10
Multiply by by adding the exponents.
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Step 2.1.10.1
Move .
Step 2.1.10.2
Multiply by .
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Step 2.1.10.2.1
Raise to the power of .
Step 2.1.10.2.2
Use the power rule to combine exponents.
Step 2.1.10.3
Add and .
Step 2.1.11
Multiply by .
Step 2.1.12
Rewrite using the commutative property of multiplication.
Step 2.1.13
Multiply by by adding the exponents.
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Step 2.1.13.1
Move .
Step 2.1.13.2
Multiply by .
Step 2.1.14
Multiply by .
Step 2.1.15
Multiply by .
Step 2.1.16
Multiply by .
Step 2.1.17
Multiply by .
Step 2.2
Simplify by adding terms.
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Step 2.2.1
Add and .
Step 2.2.2
Subtract from .
Step 2.2.3
Add and .
Step 2.2.4
Subtract from .
Step 3
Expand by multiplying each term in the first expression by each term in the second expression.
Step 4
Simplify terms.
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Step 4.1
Simplify each term.
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Step 4.1.1
Rewrite using the commutative property of multiplication.
Step 4.1.2
Multiply by by adding the exponents.
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Step 4.1.2.1
Move .
Step 4.1.2.2
Use the power rule to combine exponents.
Step 4.1.2.3
Add and .
Step 4.1.3
Multiply by .
Step 4.1.4
Rewrite using the commutative property of multiplication.
Step 4.1.5
Multiply by by adding the exponents.
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Step 4.1.5.1
Move .
Step 4.1.5.2
Use the power rule to combine exponents.
Step 4.1.5.3
Add and .
Step 4.1.6
Multiply by .
Step 4.1.7
Rewrite using the commutative property of multiplication.
Step 4.1.8
Multiply by by adding the exponents.
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Step 4.1.8.1
Move .
Step 4.1.8.2
Multiply by .
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Step 4.1.8.2.1
Raise to the power of .
Step 4.1.8.2.2
Use the power rule to combine exponents.
Step 4.1.8.3
Add and .
Step 4.1.9
Multiply by .
Step 4.1.10
Multiply by .
Step 4.1.11
Rewrite using the commutative property of multiplication.
Step 4.1.12
Multiply by by adding the exponents.
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Step 4.1.12.1
Move .
Step 4.1.12.2
Use the power rule to combine exponents.
Step 4.1.12.3
Add and .
Step 4.1.13
Multiply by .
Step 4.1.14
Rewrite using the commutative property of multiplication.
Step 4.1.15
Multiply by by adding the exponents.
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Step 4.1.15.1
Move .
Step 4.1.15.2
Use the power rule to combine exponents.
Step 4.1.15.3
Add and .
Step 4.1.16
Multiply by .
Step 4.1.17
Rewrite using the commutative property of multiplication.
Step 4.1.18
Multiply by by adding the exponents.
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Step 4.1.18.1
Move .
Step 4.1.18.2
Multiply by .
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Step 4.1.18.2.1
Raise to the power of .
Step 4.1.18.2.2
Use the power rule to combine exponents.
Step 4.1.18.3
Add and .
Step 4.1.19
Multiply by .
Step 4.1.20
Multiply by .
Step 4.1.21
Rewrite using the commutative property of multiplication.
Step 4.1.22
Multiply by by adding the exponents.
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Step 4.1.22.1
Move .
Step 4.1.22.2
Use the power rule to combine exponents.
Step 4.1.22.3
Add and .
Step 4.1.23
Multiply by .
Step 4.1.24
Rewrite using the commutative property of multiplication.
Step 4.1.25
Multiply by by adding the exponents.
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Step 4.1.25.1
Move .
Step 4.1.25.2
Use the power rule to combine exponents.
Step 4.1.25.3
Add and .
Step 4.1.26
Multiply by .
Step 4.1.27
Rewrite using the commutative property of multiplication.
Step 4.1.28
Multiply by by adding the exponents.
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Step 4.1.28.1
Move .
Step 4.1.28.2
Multiply by .
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Step 4.1.28.2.1
Raise to the power of .
Step 4.1.28.2.2
Use the power rule to combine exponents.
Step 4.1.28.3
Add and .
Step 4.1.29
Multiply by .
Step 4.1.30
Multiply by .
Step 4.1.31
Rewrite using the commutative property of multiplication.
Step 4.1.32
Multiply by by adding the exponents.
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Step 4.1.32.1
Move .
Step 4.1.32.2
Use the power rule to combine exponents.
Step 4.1.32.3
Add and .
Step 4.1.33
Multiply by .
Step 4.1.34
Rewrite using the commutative property of multiplication.
Step 4.1.35
Multiply by by adding the exponents.
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Step 4.1.35.1
Move .
Step 4.1.35.2
Use the power rule to combine exponents.
Step 4.1.35.3
Add and .
Step 4.1.36
Multiply by .
Step 4.1.37
Rewrite using the commutative property of multiplication.
Step 4.1.38
Multiply by by adding the exponents.
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Step 4.1.38.1
Move .
Step 4.1.38.2
Multiply by .
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Step 4.1.38.2.1
Raise to the power of .
Step 4.1.38.2.2
Use the power rule to combine exponents.
Step 4.1.38.3
Add and .
Step 4.1.39
Multiply by .
Step 4.1.40
Multiply by .
Step 4.1.41
Rewrite using the commutative property of multiplication.
Step 4.1.42
Multiply by by adding the exponents.
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Step 4.1.42.1
Move .
Step 4.1.42.2
Multiply by .
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Step 4.1.42.2.1
Raise to the power of .
Step 4.1.42.2.2
Use the power rule to combine exponents.
Step 4.1.42.3
Add and .
Step 4.1.43
Multiply by .
Step 4.1.44
Rewrite using the commutative property of multiplication.
Step 4.1.45
Multiply by by adding the exponents.
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Step 4.1.45.1
Move .
Step 4.1.45.2
Multiply by .
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Step 4.1.45.2.1
Raise to the power of .
Step 4.1.45.2.2
Use the power rule to combine exponents.
Step 4.1.45.3
Add and .
Step 4.1.46
Multiply by .
Step 4.1.47
Rewrite using the commutative property of multiplication.
Step 4.1.48
Multiply by by adding the exponents.
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Step 4.1.48.1
Move .
Step 4.1.48.2
Multiply by .
Step 4.1.49
Multiply by .
Step 4.1.50
Multiply by .
Step 4.2
Simplify by adding terms.
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Step 4.2.1
Subtract from .
Step 4.2.2
Add and .
Step 4.2.3
Add and .
Step 4.2.4
Add and .
Step 4.2.5
Subtract from .
Step 4.2.6
Add and .
Step 4.2.7
Subtract from .
Step 4.2.8
Subtract from .
Step 4.2.9
Add and .
Step 4.2.10
Subtract from .
Step 4.2.11
Subtract from .
Step 4.2.12
Subtract from .