Pre-Algebra Examples

Write as an Equation f(x)=3(x+1/3)^2-4
Step 1
Rewrite the function as an equation.
Step 2
Simplify .
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Step 2.1
Simplify each term.
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Step 2.1.1
Rewrite as .
Step 2.1.2
Expand using the FOIL Method.
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Step 2.1.2.1
Apply the distributive property.
Step 2.1.2.2
Apply the distributive property.
Step 2.1.2.3
Apply the distributive property.
Step 2.1.3
Simplify and combine like terms.
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Step 2.1.3.1
Simplify each term.
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Step 2.1.3.1.1
Multiply by .
Step 2.1.3.1.2
Combine and .
Step 2.1.3.1.3
Combine and .
Step 2.1.3.1.4
Multiply .
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Step 2.1.3.1.4.1
Multiply by .
Step 2.1.3.1.4.2
Multiply by .
Step 2.1.3.2
Add and .
Step 2.1.4
Combine and .
Step 2.1.5
Apply the distributive property.
Step 2.1.6
Simplify.
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Step 2.1.6.1
Cancel the common factor of .
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Step 2.1.6.1.1
Cancel the common factor.
Step 2.1.6.1.2
Rewrite the expression.
Step 2.1.6.2
Cancel the common factor of .
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Step 2.1.6.2.1
Factor out of .
Step 2.1.6.2.2
Cancel the common factor.
Step 2.1.6.2.3
Rewrite the expression.
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Combine and .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Simplify the numerator.
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Step 2.5.1
Multiply by .
Step 2.5.2
Subtract from .
Step 2.6
Move the negative in front of the fraction.