document.write( "Question 93561: Factor completeley\r
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document.write( "10a^2+ab-2b^2 \n" );
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Algebra.Com's Answer #68198 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! YOU NEED TO FIND A SET OF FACTORS FROM THE NUMBERS 10 &-2 THAT WNEM MULTIPLIED TOGETHER AND THEN ADDED WILL=1. \n" ); document.write( "FACTORS FOR 10=1&10,-1&-10,2&5,-2&-5. \n" ); document.write( "FACTORS FOR -2=1&-2,-1&2. \n" ); document.write( "THESE ARE ALL POSSIBLE FACTORS. \n" ); document.write( "NOW SELECT ONE FACTOR FROM EACH GROUP & MULTIPLY IT BY ONE FACTOR FROM THE OTHER SET & ADD THE PRODUCTS. WHEN YOU GET A SUM OF 1 THEN YOU HAVE THE ANSWER. \n" ); document.write( "1*1+10*-2=1-20=-19 IS NOT A GOOD CHOICE. \n" ); document.write( "2*-1+5*2=-2+10=8 IS NOT A GOOD CHOICE. \n" ); document.write( "5*1+2*-2=5-4=1 LOOKS LIKE A WINNER. \n" ); document.write( "NOW USEING THE OUTER & INNER ITEMS OF THE FOIL PROCEDURE WE GET: \n" ); document.write( "OUTER=5*1=5 INNER=-2*2-4 NOW ADD 5-4=1 THE MIDDLE TERM OF THE EQUATION. \n" ); document.write( "------------------------------------------------------------------------- \n" ); document.write( "10a^2+ab-2b^2 \n" ); document.write( "(5a-2b)(2a+b) \n" ); document.write( " |