Finite Math Examples

Multiply (x+4)(x-7-2i)(x-7+2i)
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 .
Step 2.1.2
Move to the left of .
Step 2.1.3
Multiply by .
Step 2.1.4
Multiply by .
Step 2.2
Add and .
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
Multiply by by adding the exponents.
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Step 4.1.1.1
Multiply by .
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Step 4.1.1.1.1
Raise to the power of .
Step 4.1.1.1.2
Use the power rule to combine exponents.
Step 4.1.1.2
Add and .
Step 4.1.2
Move to the left of .
Step 4.1.3
Move to the left of .
Step 4.1.4
Multiply by by adding the exponents.
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Step 4.1.4.1
Move .
Step 4.1.4.2
Multiply by .
Step 4.1.5
Multiply by .
Step 4.1.6
Move to the left of .
Step 4.1.7
Multiply .
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Step 4.1.7.1
Multiply by .
Step 4.1.7.2
Raise to the power of .
Step 4.1.7.3
Raise to the power of .
Step 4.1.7.4
Use the power rule to combine exponents.
Step 4.1.7.5
Add and .
Step 4.1.8
Rewrite as .
Step 4.1.9
Multiply by .
Step 4.1.10
Move to the left of .
Step 4.1.11
Multiply by by adding the exponents.
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Step 4.1.11.1
Move .
Step 4.1.11.2
Multiply by .
Step 4.1.12
Multiply by .
Step 4.1.13
Multiply by .
Step 4.1.14
Multiply by .
Step 4.1.15
Multiply by .
Step 4.1.16
Multiply by .
Step 4.1.17
Multiply .
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Step 4.1.17.1
Multiply by .
Step 4.1.17.2
Raise to the power of .
Step 4.1.17.3
Raise to the power of .
Step 4.1.17.4
Use the power rule to combine exponents.
Step 4.1.17.5
Add and .
Step 4.1.18
Rewrite as .
Step 4.1.19
Multiply by .
Step 4.2
Simplify by adding terms.
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Step 4.2.1
Combine the opposite terms in .
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Step 4.2.1.1
Reorder the factors in the terms and .
Step 4.2.1.2
Subtract from .
Step 4.2.1.3
Add and .
Step 4.2.1.4
Add and .
Step 4.2.1.5
Add and .
Step 4.2.2
Subtract from .
Step 4.2.3
Subtract from .
Step 4.2.4
Combine the opposite terms in .
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Step 4.2.4.1
Reorder the factors in the terms and .
Step 4.2.4.2
Subtract from .
Step 4.2.4.3
Add and .
Step 4.2.5
Add and .
Step 4.2.6
Subtract from .
Step 4.2.7
Add and .