Basic Math Examples

Simplify (a^33+1)/(a^11-a^22+a^33)
Step 1
Simplify the numerator.
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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
Multiply the exponents in .
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Step 1.4.1.1
Apply the power rule and multiply exponents, .
Step 1.4.1.2
Multiply by .
Step 1.4.2
Multiply by .
Step 1.4.3
One to any power is one.
Step 2
Simplify terms.
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Step 2.1
Factor out of .
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Step 2.1.1
Multiply by .
Step 2.1.2
Factor out of .
Step 2.1.3
Factor out of .
Step 2.1.4
Factor out of .
Step 2.1.5
Factor out of .
Step 2.2
Cancel the common factor of and .
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Step 2.2.1
Reorder terms.
Step 2.2.2
Cancel the common factor.
Step 2.2.3
Rewrite the expression.