Trigonometry Examples

Simplify 6/(y-5)-(y+5)/(y^2-25)
Step 1
Simplify each term.
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Step 1.1
Simplify the denominator.
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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
Cancel the common factor of .
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Step 1.2.1
Cancel the common factor.
Step 1.2.2
Rewrite the expression.
Step 2
Combine fractions.
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Step 2.1
Combine the numerators over the common denominator.
Step 2.2
Subtract from .