document.write( "Question 144240: 1-(1+xy^-2)^-2 divided by 1+(1+xy^-2)^-2\r
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Algebra.Com's Answer #105194 by Edwin McCravy(20062)\"\" \"About 
You can put this solution on YOUR website!

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document.write( "\"1-%281%2Bxy%5E%28-2%29%29%5E%28-2%29\"÷\"1%2B%281%2Bxy%5E%28-2%29%29%5E%28-2%29\" \r
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document.write( "Write both terms \"xy%5E%28-2%29\" as \"x%2Fy%5E2\"\r
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document.write( "\"1-%281%2Bx%2Fy%5E2%29%5E%28-2%29\"÷\"1%2B%281%2Bx%2Fy%5E2%29%5E%28-2%29\"\r
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document.write( "Write the \"1\"'s inside the parentheses as \"1%2F1\"\r
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document.write( "\"1-%281%2F1%2Bx%2Fy%5E2%29%5E%28-2%29\"÷\"+1%2B%281%2F1%2Bx%2Fy%5E2%29%5E%28-2%29\"\r
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document.write( "Get an LCD of \"y%5E2\" inside the parentheses and
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document.write( "multiply top and bottom of both \"1%2F1\"'s by \"y%5E2\"\r
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document.write( "\"+1-%28%281%2Ay%5E2%29%2F%281%2Ay%5E2%29%2Bx%2Fy%5E2%29%5E%28-2%29\"÷\"+1%2B%28%281%2Ay%5E2%29%2F%281%2Ay%5E2%29%2Bx%2Fy%5E2%29%5E%28-2%29\"\r
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document.write( "\"1-%28y%5E2%2Fy%5E2%2Bx%2Fy%5E2%29%5E%28-2%29\"÷\"+1%2B%28%28y%5E2%29%2F%28y%5E2%29%2Bx%2Fy%5E2%29%5E%28-2%29\"\r
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document.write( "Combine the numerators over the LCD in the parentheses:\r
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document.write( "\"+1-%28%28y%5E2%2Bx%29%2Fy%5E2+%29%5E%28-2%29\"÷\"+1%2B%28%28y%5E2%2Bx%29%2Fy%5E2%29%5E%28-2%29\"\r
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document.write( "Now use this principle on those fractions to negative powers:
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document.write( "                \"%28A%2FB%29%5E%28-N%29+=+%28B%2FA%29%5EN\"\r
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document.write( "\"+1-%28y%5E2%2F%28y%5E2%2Bx%29+%29%5E2\"÷\"+1%2B%28y%5E2%2F%28y%5E2%2Bx%29%29%5E2\"\r
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document.write( "Square tops and bottoms:\r
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document.write( "\"+1-y%5E4%2F%28y%5E2%2Bx%29%5E2\"÷\"+1%2By%5E4%2F%28y%5E2%2Bx%29%5E2\"\r
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document.write( "Write the \"1\"'s as \"1%2F1\"\r
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document.write( "\"+1%2F1-y%5E4%2F%28y%5E2%2Bx%29%5E2\"÷\"+1%2F1%2By%5E4%2F%28y%5E2%2Bx%29%5E2\"\r
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document.write( "Get an LCD of \"%28y%5E2%2Bx%29%5E2\" and multiply the \"1%2F1\"'s
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document.write( "top and bottom by it:\r
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document.write( "\"+%281%2A%28y%5E2%2Bx%29%5E2%29%2F%281%2A%28y%5E2%2Bx%29%5E2%29-y%5E4%2F%28y%5E2%2Bx%29%5E2\"÷\"%281%2A%28y%5E2%2Bx%29%5E2%29%2F%281%2A%28y%5E2%2Bx%29%5E2%29%2By%5E4%2F%28y%5E2%2Bx%29%5E2\"\r
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document.write( "\"+%28y%5E2%2Bx%29%5E2%2F%28y%5E2%2Bx%29%5E2-y%5E4%2F%28y%5E2%2Bx%29%5E2\"÷\"%28y%5E2%2Bx%29%5E2%2F%28y%5E2%2Bx%29%5E2%2By%5E4%2F%28y%5E2%2Bx%29%5E2\"\r
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document.write( "Combine the numerators over the LCD\r
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document.write( "\"+%28%28y%5E2%2Bx%29%5E2-y%5E4%29%2F%28y%5E2%2Bx%29%5E2\"÷\"%28%28y%5E2%2Bx%29%5E2%2By%5E4%29%2F%28y%5E2%2Bx%29%5E2\"\r
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document.write( "Invert the second fraction and change division to multiplication:\r
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document.write( "\"+%28%28y%5E2%2Bx%29%5E2-y%5E4%29%2F%28y%5E2%2Bx%29%5E2\"×\"%28y%5E2%2Bx%29%5E2%2F%28%28y%5E2%2Bx%29%5E2%2By%5E4%29\"\r
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document.write( "Now the \"%28y%5E2%2Bx%29%5E2\"'s cancel\r
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document.write( "\"+%28%28y%5E2%2Bx%29%5E2-y%5E4%29%2Fcross%28%28y%5E2%2Bx%29%5E2%29\"×\"cross%28%28y%5E2%2Bx%29%5E2%29%2F%28%28y%5E2%2Bx%29%5E2%2By%5E4%29\"\r
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document.write( "\"+%28%28y%5E2%2Bx%29%5E2-y%5E4%29%2F%28%28y%5E2%2Bx%29%5E2%2By%5E4%29\" \r
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document.write( "Now we square \"+%28y%5E2%2Bx%29%5E2+\" = \"+%28y%5E2%2Bx%29%28y%5E2%2Bx%29+\" = \"+y%5E4%2B2xy%5E2%2Bx%5E2+\"\r
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document.write( "And replace in the numerator and denominator\r
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document.write( "\"+%28%28y%5E4%2B2xy%5E2%2Bx%5E2%29-y%5E4%29%2F%28%28y%5E4%2B2xy%5E2%2Bx%5E2%29%2By%5E4%29\"\r
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document.write( "\"+%28y%5E4%2B2xy%5E2%2Bx%5E2-y%5E4%29%2F%28y%5E4%2B2xy%5E2%2Bx%5E2%2By%5E4%29\"\r
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document.write( "Combine terms in numerator and denominator\r
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document.write( "\"+%282xy%5E2%2Bx%5E2%29%2F%282y%5E4%2B2xy%5E2%2Bx%5E2%29\"\r
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document.write( "Edwin
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