Rationalize the Denominator (x^2-16)/( square root of x-2)

Math
Simplify the numerator.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Multiply by .
Simplify terms.
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Multiply and .
Expand the denominator using the FOIL method.
Simplify.
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify terms.
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Simplify each term.
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Move to the left of .
Multiply by .
Reorder and .
Rationalize the Denominator (x^2-16)/( square root of x-2)

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