document.write( "Question 1177974: If ((1+x)/(1-x))= ((1-y)/(1+y)), find the value of (2+x)(2+y)+x^2
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Algebra.Com's Answer #807134 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "If \"%28%281%2Bx%29%2F%281-x%29%29=+%28%281-y%29%2F%281%2By%29%29\", find the value of \"%282%2Bx%29%282%2By%29%2Bx%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%281%2Bx%29%2F%281-x%29%29=+%28%281-y%29%2F%281%2By%29%29\"...... cross multiply\r
\n" ); document.write( "\n" ); document.write( "\"%281%2Bx%29%281%2By%29=+%281-x%29%281-y%29+\".....expand\r
\n" ); document.write( "\n" ); document.write( "\"xy+%2B+x+%2B+y+%2B+1=xy+-+x+-+y+%2B+1\"\r
\n" ); document.write( "\n" ); document.write( "\"xy+%2B+x+%2B+y+%2B+1-xy+%2B+x+%2B+y+-+1=0\"\r
\n" ); document.write( "\n" ); document.write( "\"2x+%2B+2y+=0\"\r
\n" ); document.write( "\n" ); document.write( "\"2%28x+%2B+y%29+=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x+%2B+y+=0\"\r
\n" ); document.write( "\n" ); document.write( "\"y+=-x\"\r
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\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( "\"%282%2Bx%29%282%2By%29%2Bx%5E2\".............substitute \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"%282%2Bx%29%282-x%29%2Bx%5E2\"\r
\n" ); document.write( "\n" ); document.write( "=\"4+-+x%5E2%2Bx%5E2\"\r
\n" ); document.write( "\n" ); document.write( "=\"4+\"\r
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