Precalculus Examples

Find the Standard Form of the Parabola
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.
Remove parentheses.
Simplify and combine like terms.
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Simplify each term.
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Use the power rule to combine exponents.
Add and to get .
Simplify .
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Write as a fraction with denominator .
Multiply and to get .
Simplify .
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Write as a fraction with denominator .
Multiply and to get .
Simplify .
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Multiply and to get .
Multiply by to get .
Add and to get .
Simplify .
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Write as a fraction with denominator .
Multiply and to get .
Apply the distributive property.
Simplify.
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Cancel the common factor of .
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Write as a fraction with denominator .
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Simplify.
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Multiply and to get .
Divide by to get .
Cancel the common factor of .
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Write as a fraction with denominator .
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Multiply and to get .
Simplify the expression.
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Combine the numerators over the common denominator.
Multiply by to get .
Subtract from to get .
Divide by to get .
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  [ x 2     1 2     π     x d x   ]