Basic Math Examples

Simplify (8q^2r)/(5-p)*(3(25-p^2))/(8pq)
Step 1
Simplify the numerator.
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Step 1.1
Rewrite as .
Step 1.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 2
Simplify terms.
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Step 2.1
Cancel the common factor of .
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Step 2.1.1
Factor out of .
Step 2.1.2
Factor out of .
Step 2.1.3
Cancel the common factor.
Step 2.1.4
Rewrite the expression.
Step 2.2
Cancel the common factor of .
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Step 2.2.1
Factor out of .
Step 2.2.2
Cancel the common factor.
Step 2.2.3
Rewrite the expression.
Step 2.3
Combine and .
Step 2.4
Combine and .
Step 2.5
Move to the left of .