document.write( "Question 261683: factor
\n" ); document.write( "3x^4 y^2 - 3x^2y^2
\n" ); document.write( "

Algebra.Com's Answer #192859 by PRMath(133)\"\" \"About 
You can put this solution on YOUR website!
Your problem is:\r
\n" ); document.write( "\n" ); document.write( "\"3x%5E4y%5E2%29\" - \"3x%5E2y%5E2\" What is common to both? Well, a 3 is common and there are x and y variables. You can \"pull out\" those numbers and variables and when we \"pull\" them out, it means we are DIVIDING. Try this:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's pull out a 3, as well as an \"x%5E2\" and a \"y%5E2\", k?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3x%5E2y%5E2%28x%5E2+-+1%29\" <---To get this, we divided \"3x%5E4y%5E2%29\"/\"3x%5E2y%5E2\" to get \"x%5E2\" and we divided \"-3x%5E2y%5E2\"/\"3x%5E2y%5E2\" to get \"-1\".\r
\n" ); document.write( "\n" ); document.write( "We still are not done factoring because \"x%5E2+-1%29\" is the difference of squares, so nowwww we have to factor that like this:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3x%5E2y%5E2%28x%5E2+-+1%29\"
\n" ); document.write( "\"3x%5E2y%5E2%28x+%2B1%29%28x+-1%29\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now it's all factored. :-)\r
\n" ); document.write( "\n" ); document.write( "I hope this helps. I have some factoring tutorials on youtube. If you search for PRMathChicago on youtube, you'll find the videos.
\n" ); document.write( "
\n" );