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Pre-Algebra Examples
Step 1
Step 1.1
Simplify the denominator.
Step 1.1.1
Rewrite as .
Step 1.1.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 1.2
Factor using the perfect square rule.
Step 1.2.1
Rewrite as .
Step 1.2.2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Step 1.2.3
Rewrite the polynomial.
Step 1.2.4
Factor using the perfect square trinomial rule , where and .
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
To write as a fraction with a common denominator, multiply by .
Step 4
Step 4.1
Multiply by .
Step 4.2
Raise to the power of .
Step 4.3
Raise to the power of .
Step 4.4
Use the power rule to combine exponents.
Step 4.5
Add and .
Step 4.6
Multiply by .
Step 5
Combine the numerators over the common denominator.
Step 6
Step 6.1
Factor out of .
Step 6.1.1
Factor out of .
Step 6.1.2
Factor out of .
Step 6.1.3
Factor out of .
Step 6.2
Apply the distributive property.
Step 6.3
Multiply by .
Step 6.4
Apply the distributive property.
Step 6.5
Multiply by .
Step 6.6
Subtract from .
Step 6.7
Add and .
Step 6.8
Factor out of .
Step 6.8.1
Factor out of .
Step 6.8.2
Factor out of .
Step 6.8.3
Factor out of .
Step 6.9
Multiply by .