Pre-Algebra Examples

Factor 5p^2q^2+20pq-60
Step 1
Factor out of .
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Step 1.1
Factor out of .
Step 1.2
Factor out of .
Step 1.3
Factor out of .
Step 1.4
Factor out of .
Step 1.5
Factor out of .
Step 2
Rewrite as .
Step 3
Let . Substitute for all occurrences of .
Step 4
Factor using the AC method.
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Step 4.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 4.2
Write the factored form using these integers.
Step 5
Factor.
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Step 5.1
Replace all occurrences of with .
Step 5.2
Remove unnecessary parentheses.