Algebra Examples

,
Write as an equation.
Substitute using the average rate of change formula.
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The average rate of change of a function can be found by calculating the change in values of the two points divided by the change in values of the two points.
Substitute the equation for and , replacing in the function with the corresponding value.
Simplify the expression.
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Multiply the numerator and denominator of the complex fraction by .
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Multiply by .
Combine.
Apply the distributive property.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify the numerator.
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Raise to the power of .
Multiply by .
Raise to the power of .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Add and .
Cancel the common factor of .
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Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Add and .
Subtract from .
Simplify the denominator.
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Multiply by .
Multiply by .
Multiply by .
Add and .
Divide by .
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