Basic Math Examples

Simplify (((t-9)^2)/(25-t^2))÷((t^2-81)/(t-5))
Step 1
To divide by a fraction, multiply by its reciprocal.
Step 2
Simplify the denominator.
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Step 2.1
Rewrite as .
Step 2.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 3
Simplify the denominator.
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Step 3.1
Rewrite as .
Step 3.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 4
Simplify terms.
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Step 4.1
Cancel the common factor of .
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Step 4.1.1
Factor out of .
Step 4.1.2
Factor out of .
Step 4.1.3
Cancel the common factor.
Step 4.1.4
Rewrite the expression.
Step 4.2
Multiply by .
Step 4.3
Cancel the common factor of and .
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Step 4.3.1
Factor out of .
Step 4.3.2
Rewrite as .
Step 4.3.3
Factor out of .
Step 4.3.4
Reorder terms.
Step 4.3.5
Cancel the common factor.
Step 4.3.6
Rewrite the expression.
Step 4.4
Simplify the expression.
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Step 4.4.1
Move to the left of .
Step 4.4.2
Move the negative in front of the fraction.