document.write( "Question 22374: This is factoring polynomials.
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document.write( "How do i factor 9x^2+24xy-9y^2 I haven't a clue. Can someone help me with this? \n" );
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Algebra.Com's Answer #11641 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! 9x^2+24xy-9y^2 ..WE FIND 3 IS A COMMON FACTOR AND TAKE IT OUT.. \n" ); document.write( "=3(3X^2+8XY-3Y^2) \n" ); document.write( "TAKE PRODUCT OF COEFFICIENTS OF X^2 AND Y^2 TERMS .THEY ARE 3 AND -3 .SO PRODUCT = 3*-3=-9 \n" ); document.write( "NOW TRY BY GUESS 2 FACTORS OF THIS PRODUCT -9 WHOSE SUM IS THE COEFFICIENT OF XY TERM THAT IS 8..WE TRY.. \n" ); document.write( "-9=-1*9....SUM IS -1+9=8..OK.. HENCE 8 XY = -1XY+9XY ...SO NOW WE WRITE \n" ); document.write( "=3(3X^2-1XY+9XY-3Y^2) \n" ); document.write( "3{X(3X-Y)-3Y(3X-Y)}=3(X-3Y)(3X-Y) \n" ); document.write( " |