Pre-Algebra Examples

Simplify (8u^2+6u+3)(4u^2-7u+8)(8u^2+2u-3)
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
Multiply by .
Step 2.1.8
Rewrite using the commutative property of multiplication.
Step 2.1.9
Multiply by by adding the exponents.
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Step 2.1.9.1
Move .
Step 2.1.9.2
Multiply by .
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Step 2.1.9.2.1
Raise to the power of .
Step 2.1.9.2.2
Use the power rule to combine exponents.
Step 2.1.9.3
Add and .
Step 2.1.10
Multiply by .
Step 2.1.11
Rewrite using the commutative property of multiplication.
Step 2.1.12
Multiply by by adding the exponents.
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Step 2.1.12.1
Move .
Step 2.1.12.2
Multiply by .
Step 2.1.13
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
Multiply by .
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Step 4.1.5.2.1
Raise to the power of .
Step 4.1.5.2.2
Use the power rule to combine exponents.
Step 4.1.5.3
Add and .
Step 4.1.6
Multiply by .
Step 4.1.7
Multiply by .
Step 4.1.8
Rewrite using the commutative property of multiplication.
Step 4.1.9
Multiply by by adding the exponents.
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Step 4.1.9.1
Move .
Step 4.1.9.2
Use the power rule to combine exponents.
Step 4.1.9.3
Add and .
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
Multiply by .
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Step 4.1.12.2.1
Raise to the power of .
Step 4.1.12.2.2
Use the power rule to combine exponents.
Step 4.1.12.3
Add and .
Step 4.1.13
Multiply by .
Step 4.1.14
Multiply by .
Step 4.1.15
Rewrite using the commutative property of multiplication.
Step 4.1.16
Multiply by by adding the exponents.
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Step 4.1.16.1
Move .
Step 4.1.16.2
Use the power rule to combine exponents.
Step 4.1.16.3
Add and .
Step 4.1.17
Multiply by .
Step 4.1.18
Rewrite using the commutative property of multiplication.
Step 4.1.19
Multiply by by adding the exponents.
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Step 4.1.19.1
Move .
Step 4.1.19.2
Multiply by .
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Step 4.1.19.2.1
Raise to the power of .
Step 4.1.19.2.2
Use the power rule to combine exponents.
Step 4.1.19.3
Add and .
Step 4.1.20
Multiply by .
Step 4.1.21
Multiply by .
Step 4.1.22
Rewrite using the commutative property of multiplication.
Step 4.1.23
Multiply by by adding the exponents.
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Step 4.1.23.1
Move .
Step 4.1.23.2
Multiply by .
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Step 4.1.23.2.1
Raise to the power of .
Step 4.1.23.2.2
Use the power rule to combine exponents.
Step 4.1.23.3
Add and .
Step 4.1.24
Multiply by .
Step 4.1.25
Rewrite using the commutative property of multiplication.
Step 4.1.26
Multiply by by adding the exponents.
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Step 4.1.26.1
Move .
Step 4.1.26.2
Multiply by .
Step 4.1.27
Multiply by .
Step 4.1.28
Multiply by .
Step 4.1.29
Multiply by .
Step 4.1.30
Multiply by .
Step 4.1.31
Multiply by .
Step 4.2
Simplify by adding terms.
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Step 4.2.1
Subtract from .
Step 4.2.2
Subtract from .
Step 4.2.3
Add and .
Step 4.2.4
Add and .
Step 4.2.5
Add and .
Step 4.2.6
Add and .
Step 4.2.7
Add and .
Step 4.2.8
Add and .