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Finite Math Examples
Step 1
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Step 2
Step 2.1
Combine.
Step 2.2
Simplify the numerator.
Step 2.2.1
Rewrite as .
Step 2.2.2
Expand using the FOIL Method.
Step 2.2.2.1
Apply the distributive property.
Step 2.2.2.2
Apply the distributive property.
Step 2.2.2.3
Apply the distributive property.
Step 2.2.3
Simplify and combine like terms.
Step 2.2.3.1
Simplify each term.
Step 2.2.3.1.1
Multiply by .
Step 2.2.3.1.2
Multiply by .
Step 2.2.3.1.3
Multiply by .
Step 2.2.3.1.4
Multiply .
Step 2.2.3.1.4.1
Multiply by .
Step 2.2.3.1.4.2
Raise to the power of .
Step 2.2.3.1.4.3
Raise to the power of .
Step 2.2.3.1.4.4
Use the power rule to combine exponents.
Step 2.2.3.1.4.5
Add and .
Step 2.2.3.1.5
Rewrite as .
Step 2.2.3.1.6
Multiply by .
Step 2.2.3.2
Subtract from .
Step 2.2.3.3
Add and .
Step 2.2.4
Apply the distributive property.
Step 2.2.5
Multiply .
Step 2.2.5.1
Raise to the power of .
Step 2.2.5.2
Raise to the power of .
Step 2.2.5.3
Use the power rule to combine exponents.
Step 2.2.5.4
Add and .
Step 2.2.6
Simplify each term.
Step 2.2.6.1
Rewrite as .
Step 2.2.6.2
Multiply by .
Step 2.2.7
Reorder and .
Step 2.3
Simplify the denominator.
Step 2.3.1
Add parentheses.
Step 2.3.2
Raise to the power of .
Step 2.3.3
Raise to the power of .
Step 2.3.4
Use the power rule to combine exponents.
Step 2.3.5
Add and .
Step 2.3.6
Rewrite as .
Step 3
Multiply by .
Step 4
Split the fraction into two fractions.
Step 5
Step 5.1
Divide by .
Step 5.2
Dividing two negative values results in a positive value.