document.write( "Question 25044: Please help in explaining the differences in factoring
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document.write( "3a^2-12a and factoring 4a^2-16.\r
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document.write( "I am not sure where to start so any help would be great. Thanks so much. \n" );
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Algebra.Com's Answer #13432 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Look at 3a^2-12a. \n" ); document.write( "The 1st thing you look for in factoring is a common factor. \n" ); document.write( "Bothe terms of your problem have a factor of 3 and a factor of \"a\". \n" ); document.write( "So you factor out the common factor of 3a to get; \n" ); document.write( " 3a(a-4) \n" ); document.write( "You cannot factor this further. \n" ); document.write( "Look at 4a^2-16 \n" ); document.write( "The common factor is \"4\", so you get the following: \n" ); document.write( " 4(a^2-4) \n" ); document.write( "The 2nd thing you look for in factoring is the difference \n" ); document.write( "of squares. You have that in the expression x^2-4. \n" ); document.write( "So you must factor futher and get the following: \n" ); document.write( " 4(a-2)(a+2) \n" ); document.write( "You cannot factor this further.\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |