Pre-Algebra Examples

Factor 5x^4-5x^2+30x^3y-30xy
Step 1
Factor out of .
Tap for more steps...
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 1.6
Factor out of .
Step 1.7
Factor out of .
Step 2
Factor out the greatest common factor from each group.
Tap for more steps...
Step 2.1
Group the first two terms and the last two terms.
Step 2.2
Factor out the greatest common factor (GCF) from each group.
Step 3
Factor the polynomial by factoring out the greatest common factor, .
Step 4
Rewrite as .
Step 5
Factor.
Tap for more steps...
Step 5.1
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 5.2
Remove unnecessary parentheses.