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Finite Math Examples
Step 1
Step 1.1
Rewrite as .
Step 1.2
Multiply by .
Step 1.3
Combine and simplify the denominator.
Step 1.3.1
Multiply by .
Step 1.3.2
Raise to the power of .
Step 1.3.3
Raise to the power of .
Step 1.3.4
Use the power rule to combine exponents.
Step 1.3.5
Add and .
Step 1.3.6
Rewrite as .
Step 1.3.6.1
Use to rewrite as .
Step 1.3.6.2
Apply the power rule and multiply exponents, .
Step 1.3.6.3
Combine and .
Step 1.3.6.4
Cancel the common factor of .
Step 1.3.6.4.1
Cancel the common factor.
Step 1.3.6.4.2
Rewrite the expression.
Step 1.3.6.5
Simplify.
Step 1.4
Combine using the product rule for radicals.
Step 1.5
Rewrite as .
Step 1.6
Multiply by .
Step 1.7
Combine and simplify the denominator.
Step 1.7.1
Multiply by .
Step 1.7.2
Raise to the power of .
Step 1.7.3
Raise to the power of .
Step 1.7.4
Use the power rule to combine exponents.
Step 1.7.5
Add and .
Step 1.7.6
Rewrite as .
Step 1.7.6.1
Use to rewrite as .
Step 1.7.6.2
Apply the power rule and multiply exponents, .
Step 1.7.6.3
Combine and .
Step 1.7.6.4
Cancel the common factor of .
Step 1.7.6.4.1
Cancel the common factor.
Step 1.7.6.4.2
Rewrite the expression.
Step 1.7.6.5
Simplify.
Step 1.8
Combine using the product rule for radicals.
Step 1.9
To write as a fraction with a common denominator, multiply by .
Step 1.10
To write as a fraction with a common denominator, multiply by .
Step 1.11
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Step 1.11.1
Multiply by .
Step 1.11.2
Multiply by .
Step 1.11.3
Reorder the factors of .
Step 1.12
Combine the numerators over the common denominator.
Step 1.13
Rewrite in a factored form.
Step 1.13.1
Use to rewrite as .
Step 1.13.2
Use to rewrite as .
Step 1.13.3
Expand using the FOIL Method.
Step 1.13.3.1
Apply the distributive property.
Step 1.13.3.2
Apply the distributive property.
Step 1.13.3.3
Apply the distributive property.
Step 1.13.4
Combine the opposite terms in .
Step 1.13.4.1
Reorder the factors in the terms and .
Step 1.13.4.2
Add and .
Step 1.13.4.3
Add and .
Step 1.13.5
Simplify each term.
Step 1.13.5.1
Multiply by .
Step 1.13.5.2
Multiply by .
Step 1.13.6
Apply the distributive property.
Step 1.13.7
Move to the left of .
Step 1.13.8
Expand using the FOIL Method.
Step 1.13.8.1
Apply the distributive property.
Step 1.13.8.2
Apply the distributive property.
Step 1.13.8.3
Apply the distributive property.
Step 1.13.9
Combine the opposite terms in .
Step 1.13.9.1
Reorder the factors in the terms and .
Step 1.13.9.2
Subtract from .
Step 1.13.9.3
Add and .
Step 1.13.10
Simplify each term.
Step 1.13.10.1
Multiply by .
Step 1.13.10.2
Multiply by .
Step 1.13.11
Apply the distributive property.
Step 1.13.12
Move to the left of .
Step 1.13.13
Add and .
Step 1.13.14
Subtract from .
Step 1.13.15
Add and .
Step 1.13.16
Reorder the factors of .
Step 2
Step 2.1
Rewrite as .
Step 2.2
Multiply by .
Step 2.3
Combine and simplify the denominator.
Step 2.3.1
Multiply by .
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 2.3.6.1
Use to rewrite as .
Step 2.3.6.2
Apply the power rule and multiply exponents, .
Step 2.3.6.3
Combine and .
Step 2.3.6.4
Cancel the common factor of .
Step 2.3.6.4.1
Cancel the common factor.
Step 2.3.6.4.2
Rewrite the expression.
Step 2.3.6.5
Simplify.
Step 2.4
Combine using the product rule for radicals.
Step 2.5
Rewrite as .
Step 2.6
Multiply by .
Step 2.7
Combine and simplify the denominator.
Step 2.7.1
Multiply by .
Step 2.7.2
Raise to the power of .
Step 2.7.3
Raise to the power of .
Step 2.7.4
Use the power rule to combine exponents.
Step 2.7.5
Add and .
Step 2.7.6
Rewrite as .
Step 2.7.6.1
Use to rewrite as .
Step 2.7.6.2
Apply the power rule and multiply exponents, .
Step 2.7.6.3
Combine and .
Step 2.7.6.4
Cancel the common factor of .
Step 2.7.6.4.1
Cancel the common factor.
Step 2.7.6.4.2
Rewrite the expression.
Step 2.7.6.5
Simplify.
Step 2.8
Combine using the product rule for radicals.
Step 2.9
To write as a fraction with a common denominator, multiply by .
Step 2.10
To write as a fraction with a common denominator, multiply by .
Step 2.11
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Step 2.11.1
Multiply by .
Step 2.11.2
Multiply by .
Step 2.11.3
Reorder the factors of .
Step 2.12
Combine the numerators over the common denominator.
Step 2.13
Rewrite in a factored form.
Step 2.13.1
Use to rewrite as .
Step 2.13.2
Use to rewrite as .
Step 2.13.3
Expand using the FOIL Method.
Step 2.13.3.1
Apply the distributive property.
Step 2.13.3.2
Apply the distributive property.
Step 2.13.3.3
Apply the distributive property.
Step 2.13.4
Combine the opposite terms in .
Step 2.13.4.1
Reorder the factors in the terms and .
Step 2.13.4.2
Add and .
Step 2.13.4.3
Add and .
Step 2.13.5
Simplify each term.
Step 2.13.5.1
Multiply by .
Step 2.13.5.2
Multiply by .
Step 2.13.6
Apply the distributive property.
Step 2.13.7
Move to the left of .
Step 2.13.8
Expand using the FOIL Method.
Step 2.13.8.1
Apply the distributive property.
Step 2.13.8.2
Apply the distributive property.
Step 2.13.8.3
Apply the distributive property.
Step 2.13.9
Combine the opposite terms in .
Step 2.13.9.1
Reorder the factors in the terms and .
Step 2.13.9.2
Subtract from .
Step 2.13.9.3
Add and .
Step 2.13.10
Simplify each term.
Step 2.13.10.1
Multiply by .
Step 2.13.10.2
Multiply by .
Step 2.13.11
Apply the distributive property.
Step 2.13.12
Multiply by .
Step 2.13.13
Subtract from .
Step 2.13.14
Add and .
Step 2.13.15
Add and .
Step 3
Multiply the numerator by the reciprocal of the denominator.
Step 4
Combine.
Step 5
Factor out of .
Step 6
Step 6.1
Factor out of .
Step 6.2
Cancel the common factor.
Step 6.3
Rewrite the expression.
Step 7
Cancel the common factor.
Step 8
Rewrite the expression.
Step 9
Step 9.1
Cancel the common factor.
Step 9.2
Rewrite the expression.
Step 10
Step 10.1
Cancel the common factor.
Step 10.2
Rewrite the expression.