Trigonometry Examples

Simplify (2-2i)^5
Step 1
Use the Binomial Theorem.
Step 2
Simplify terms.
Tap for more steps...
Step 2.1
Simplify each term.
Tap for more steps...
Step 2.1.1
Raise to the power of .
Step 2.1.2
Raise to the power of .
Step 2.1.3
Multiply by .
Step 2.1.4
Multiply by .
Step 2.1.5
Raise to the power of .
Step 2.1.6
Multiply by .
Step 2.1.7
Apply the product rule to .
Step 2.1.8
Raise to the power of .
Step 2.1.9
Rewrite as .
Step 2.1.10
Multiply .
Tap for more steps...
Step 2.1.10.1
Multiply by .
Step 2.1.10.2
Multiply by .
Step 2.1.11
Raise to the power of .
Step 2.1.12
Multiply by .
Step 2.1.13
Apply the product rule to .
Step 2.1.14
Raise to the power of .
Step 2.1.15
Factor out .
Step 2.1.16
Rewrite as .
Step 2.1.17
Rewrite as .
Step 2.1.18
Multiply by .
Step 2.1.19
Multiply by .
Step 2.1.20
Multiply by .
Step 2.1.21
Apply the product rule to .
Step 2.1.22
Raise to the power of .
Step 2.1.23
Rewrite as .
Tap for more steps...
Step 2.1.23.1
Rewrite as .
Step 2.1.23.2
Rewrite as .
Step 2.1.23.3
Raise to the power of .
Step 2.1.24
Multiply .
Tap for more steps...
Step 2.1.24.1
Multiply by .
Step 2.1.24.2
Multiply by .
Step 2.1.25
Apply the product rule to .
Step 2.1.26
Raise to the power of .
Step 2.1.27
Factor out .
Step 2.1.28
Rewrite as .
Tap for more steps...
Step 2.1.28.1
Rewrite as .
Step 2.1.28.2
Rewrite as .
Step 2.1.28.3
Raise to the power of .
Step 2.1.29
Multiply by .
Step 2.2
Simplify by adding terms.
Tap for more steps...
Step 2.2.1
Subtract from .
Step 2.2.2
Add and .
Step 2.2.3
Add and .
Step 2.2.4
Subtract from .