Finite Math Examples

Factor 64m^6-125n^6
Step 1
Rewrite as .
Step 2
Rewrite as .
Step 3
Since both terms are perfect cubes, factor using the difference of cubes formula, where and .
Step 4
Simplify.
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Step 4.1
Multiply by .
Step 4.2
Apply the product rule to .
Step 4.3
Raise to the power of .
Step 4.4
Multiply the exponents in .
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Step 4.4.1
Apply the power rule and multiply exponents, .
Step 4.4.2
Multiply by .
Step 4.5
Rewrite using the commutative property of multiplication.
Step 4.6
Multiply by .
Step 4.7
Apply the product rule to .
Step 4.8
Raise to the power of .
Step 4.9
Multiply the exponents in .
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Step 4.9.1
Apply the power rule and multiply exponents, .
Step 4.9.2
Multiply by .