Pre-Algebra Examples

Simplify (x^3+64)/(x^2-4x+16)*11/(x^2-16)
Step 1
Simplify the numerator.
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Step 1.1
Rewrite as .
Step 1.2
Since both terms are perfect cubes, factor using the sum of cubes formula, where and .
Step 1.3
Simplify.
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Step 1.3.1
Multiply by .
Step 1.3.2
Raise to the power of .
Step 2
Simplify the denominator.
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Step 2.1
Rewrite as .
Step 2.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 3
Simplify terms.
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Step 3.1
Cancel the common factor of .
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Step 3.1.1
Cancel the common factor.
Step 3.1.2
Rewrite the expression.
Step 3.2
Multiply by .
Step 3.3
Cancel the common factor of .
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Step 3.3.1
Cancel the common factor.
Step 3.3.2
Rewrite the expression.