Basic Math Examples

Simplify (((2a+3b)^2)/(3a-5b)*(9a^2-25b^2)/(4a^2-9b^2))÷((3a+5b)/(2a-3b))
Step 1
To divide by a fraction, multiply by its reciprocal.
Step 2
Simplify the numerator.
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Step 2.1
Rewrite as .
Step 2.2
Rewrite as .
Step 2.3
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 2.4
Multiply by .
Step 3
Simplify the denominator.
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Step 3.1
Rewrite as .
Step 3.2
Rewrite as .
Step 3.3
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 3.4
Multiply by .
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
Cancel the common factor.
Step 4.1.3
Rewrite the expression.
Step 4.2
Cancel the common factor of .
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Step 4.2.1
Factor out of .
Step 4.2.2
Cancel the common factor.
Step 4.2.3
Rewrite the expression.
Step 4.3
Multiply by .
Step 4.4
Cancel the common factor of .
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Step 4.4.1
Factor out of .
Step 4.4.2
Cancel the common factor.
Step 4.4.3
Rewrite the expression.
Step 4.5
Cancel the common factor of .
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Step 4.5.1
Cancel the common factor.
Step 4.5.2
Rewrite the expression.