Pre-Algebra Examples

Divide (9x^2-24x+64)/(27x^3+512)
Step 1
Simplify the denominator.
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Step 1.1
Rewrite as .
Step 1.2
Rewrite as .
Step 1.3
Since both terms are perfect cubes, factor using the sum of cubes formula, where and .
Step 1.4
Simplify.
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Step 1.4.1
Apply the product rule to .
Step 1.4.2
Raise to the power of .
Step 1.4.3
Multiply by .
Step 1.4.4
Multiply by .
Step 1.4.5
Raise to the power of .
Step 2
Cancel the common factor of .
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Step 2.1
Cancel the common factor.
Step 2.2
Rewrite the expression.