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Algebra Examples
Step 1
Step 1.1
Factor out of .
Step 1.1.1
Factor out of .
Step 1.1.2
Factor out of .
Step 1.1.3
Factor out of .
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 1.3
Simplify the denominator.
Step 1.3.1
Rewrite as .
Step 1.3.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 1.4
Simplify terms.
Step 1.4.1
Combine.
Step 1.4.2
Cancel the common factor of .
Step 1.4.2.1
Cancel the common factor.
Step 1.4.2.2
Rewrite the expression.
Step 1.4.3
Cancel the common factor of and .
Step 1.4.3.1
Factor out of .
Step 1.4.3.2
Cancel the common factors.
Step 1.4.3.2.1
Factor out of .
Step 1.4.3.2.2
Cancel the common factor.
Step 1.4.3.2.3
Rewrite the expression.
Step 2
Step 2.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 2.2
The LCM of one and any expression is the expression.
Step 3
Step 3.1
Multiply each term in by .
Step 3.2
Simplify the left side.
Step 3.2.1
Cancel the common factor of .
Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Rewrite the expression.
Step 3.2.2
Apply the distributive property.
Step 3.2.3
Multiply by by adding the exponents.
Step 3.2.3.1
Move .
Step 3.2.3.2
Multiply by .
Step 3.2.4
Multiply by .
Step 3.3
Simplify the right side.
Step 3.3.1
Multiply by .
Step 4
Rewrite the equation as .