document.write( "Question 283380: Factor completely.\r
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document.write( "64x^2 - 48xy + 9y^2 \n" );
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Algebra.Com's Answer #205699 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! You might guess that the first term will have an 8 and the last term will have a 3 \n" ); document.write( "since 8^2=64 and 3^2=9 \n" ); document.write( "But what next ? how do you get the xy? \n" ); document.write( "obviously there must be y in the second term also \n" ); document.write( "and the second term also must be negative \n" ); document.write( "so what do we know so far. \n" ); document.write( "8x is a good start for the first term \n" ); document.write( "-3y looks like it might be the second term \n" ); document.write( "since (-3y)*(-3y)=9y^2 \n" ); document.write( "But will it give us the -48xy \n" ); document.write( "(8x-3y)*(8x-3y)=64x^2-24xy-24xy+9y^2 \n" ); document.write( "It works since -24xy-24xy=-48xy \n" ); document.write( "So our answer is \n" ); document.write( "(8x-3y)*(8x-3y) or (8x-3y)^2 \n" ); document.write( " |