document.write( "Question 1064767: If xy = a, xz = b, and yz = c, and none of these quantities is 0, then what is the x^2 - y^2 + z^2? \n" ); document.write( "
Algebra.Com's Answer #679868 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
If xy = a, xz = b, and yz = c, and none of these quantities is 0, then what is the x^2 - y^2 + z^2?
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document.write( "(1)  \"xy=a\"\r\n" );
document.write( "(2)  \"xz=b\"\r\n" );
document.write( "(3)  \"yz=c\"\r\n" );
document.write( "(4)  \"x%5E2yz=ab\"   <--mult. equals by equals, (1) and (2)\r\n" );
document.write( "(5)  \"xy%5E2z=ac\"   <--mult. equals by equals, (1) and (3)\r\n" );
document.write( "(6)  \"xyz%5E2=bc\"   <--mult. equals by equals, (2) and (3)\r\n" );
document.write( "(7)  \"x%5E2=%28ab%29%2F%28yz%29=%28ab%29%2Fc\"   <--div. both sides of (4) by yz\r\n" );
document.write( "(8)  \"y%5E2=%28ac%29%2F%28xz%29=%28ac%29%2Fb\"   <--div. both sides of (5) by xz\r\n" );
document.write( "(9)  \"z%5E2=%28bc%29%2F%28xy%29=%28bc%29%2Fa\"   <--div. both sides of (6) by xy\r\n" );
document.write( "(10) \"x%5E2-y%5E2%2Bz%5E2=ab%2Fc-ac%2Fb%2Bbc%2Fa\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
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