document.write( "Question 214368: (x+y)* (x+y)*(x+y)= (x+y)^3 laws of exponents
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document.write( "when I use the distributive law...I get x^3 + 3*x^2*y + 3*x*y^2 + y^3 why can't I prove out (x+y)^3? I am missing something \n" );
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Algebra.Com's Answer #161913 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! (x+y)* (x+y)*(x+y)= (x+y)^3 laws of exponents \n" ); document.write( "when I use the distributive law...I get x^3 + 3*x^2*y + 3*x*y^2 + y^3 why can't I prove out (x+y)^3? I am missing something \n" ); document.write( "------------------------------------------------- \n" ); document.write( "Factor x^3 + 3*x^2*y + 3*x*y^2 + y^3 \n" ); document.write( "--- \n" ); document.write( "Rearrange: \n" ); document.write( "3*x^2*y + 3*x*y^2 + x^3 + y^3 \n" ); document.write( "--- \n" ); document.write( "Factor to get: \n" ); document.write( "3(xy)(x+y) + (x+y)( x^2-xy+y^2) \n" ); document.write( "(x+y)[3xy + x^2 -xy + y^2] \n" ); document.write( "(x+y)[x^2 +2xy +y^2] \n" ); document.write( "(x+y)(x+y)^2 \n" ); document.write( "= (x+y)^3 \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |