Basic Math Examples

Simplify (1+i)^8
Step 1
Use the Binomial Theorem.
Step 2
Simplify terms.
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Step 2.1
Simplify each term.
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Step 2.1.1
One to any power is one.
Step 2.1.2
One to any power is one.
Step 2.1.3
Multiply by .
Step 2.1.4
One to any power is one.
Step 2.1.5
Multiply by .
Step 2.1.6
Rewrite as .
Step 2.1.7
Multiply by .
Step 2.1.8
One to any power is one.
Step 2.1.9
Multiply by .
Step 2.1.10
Factor out .
Step 2.1.11
Rewrite as .
Step 2.1.12
Rewrite as .
Step 2.1.13
Multiply by .
Step 2.1.14
One to any power is one.
Step 2.1.15
Multiply by .
Step 2.1.16
Rewrite as .
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Step 2.1.16.1
Rewrite as .
Step 2.1.16.2
Rewrite as .
Step 2.1.16.3
Raise to the power of .
Step 2.1.17
Multiply by .
Step 2.1.18
One to any power is one.
Step 2.1.19
Multiply by .
Step 2.1.20
Factor out .
Step 2.1.21
Rewrite as .
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Step 2.1.21.1
Rewrite as .
Step 2.1.21.2
Rewrite as .
Step 2.1.21.3
Raise to the power of .
Step 2.1.22
Multiply by .
Step 2.1.23
One to any power is one.
Step 2.1.24
Multiply by .
Step 2.1.25
Factor out .
Step 2.1.26
Rewrite as .
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Step 2.1.26.1
Rewrite as .
Step 2.1.26.2
Rewrite as .
Step 2.1.26.3
Raise to the power of .
Step 2.1.27
Multiply by .
Step 2.1.28
Rewrite as .
Step 2.1.29
Multiply by .
Step 2.1.30
Multiply by .
Step 2.1.31
Rewrite as .
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Step 2.1.31.1
Factor out .
Step 2.1.31.2
Factor out .
Step 2.1.32
Rewrite as .
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Step 2.1.32.1
Rewrite as .
Step 2.1.32.2
Rewrite as .
Step 2.1.32.3
Raise to the power of .
Step 2.1.33
Multiply by .
Step 2.1.34
Rewrite as .
Step 2.1.35
Rewrite as .
Step 2.1.36
Multiply by .
Step 2.1.37
Rewrite as .
Step 2.1.38
Rewrite as .
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Step 2.1.38.1
Rewrite as .
Step 2.1.38.2
Rewrite as .
Step 2.1.38.3
Raise to the power of .
Step 2.1.39
One to any power is one.
Step 2.2
Simplify by adding terms.
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Step 2.2.1
Subtract from .
Step 2.2.2
Simplify by adding and subtracting.
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Step 2.2.2.1
Add and .
Step 2.2.2.2
Subtract from .
Step 2.2.2.3
Add and .
Step 2.2.3
Subtract from .
Step 2.2.4
Add and .
Step 2.2.5
Subtract from .
Step 2.2.6
Add and .