Trigonometry Examples

Simplify ((-9 square root of 3-9i)*(9-9 square root of 3i))/((9+9 square root of 3i)*(9+9 square root of 3i))
Step 1
Cancel the common factor of and .
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Step 1.1
Factor out of .
Step 1.2
Cancel the common factors.
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Step 1.2.1
Factor out of .
Step 1.2.2
Cancel the common factor.
Step 1.2.3
Rewrite the expression.
Step 2
Cancel the common factor of and .
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Step 2.1
Factor out of .
Step 2.2
Cancel the common factors.
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Step 2.2.1
Factor out of .
Step 2.2.2
Cancel the common factor.
Step 2.2.3
Rewrite the expression.
Step 3
Multiply by .
Step 4
Multiply by .
Step 5
Reorder.
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Step 5.1
Move .
Step 5.2
Expand the denominator using the FOIL method.
Step 5.3
Simplify.
Step 5.4
Move to the left of .
Step 6
Multiply by .
Step 7
Multiply by .
Step 8
Reorder.
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Step 8.1
Move .
Step 8.2
Expand the denominator using the FOIL method.
Step 8.3
Simplify.
Step 9
Multiply by by adding the exponents.
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Step 9.1
Move .
Step 9.2
Multiply by .
Step 10
Multiply by by adding the exponents.
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Step 10.1
Move .
Step 10.2
Multiply by .
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Step 10.2.1
Raise to the power of .
Step 10.2.2
Use the power rule to combine exponents.
Step 10.3
Add and .
Step 11
Factor out of .
Step 12
Factor out of .
Step 13
Factor out of .
Step 14
Simplify the expression.
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Step 14.1
Rewrite as .
Step 14.2
Move the negative in front of the fraction.
Step 14.3
Multiply by .