Find the Difference Quotient f(z)=z^2-3+2i

Math
Consider the difference quotient formula.
Find the components of the definition.
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Evaluate the function at .
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Replace the variable with in the expression.
Simplify the result.
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Simplify each term.
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Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Multiply by .
Add and .
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Reorder and .
Add and .
The final answer is .
Reorder.
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Move .
Reorder and .
Find the components of the definition.
Plug in the components.
Simplify.
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Simplify the numerator.
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Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Subtract from .
Add and .
Add and .
Add and .
Subtract from .
Add and .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Find the Difference Quotient f(z)=z^2-3+2i

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