document.write( "Question 452661: Is 4x^2-4x+1 a perfect square? \n" ); document.write( "
Algebra.Com's Answer #311128 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
to be a perfect square, it must fit this pattern:\r
\n" ); document.write( "\n" ); document.write( "\"A%5E2+%2B-+2AB+%2B+B%5E2\"\r
\n" ); document.write( "\n" ); document.write( "and it will equal \"%28A+%2B-+B%29%5E2\" respectively for + or – sign in middle term.\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2+%96+4x+%2B+1\" fits the pattern with \"A+=+2x\" and \"2AB=-4x\" ..->.\"B=-4x%2F2A=-4x%2F2%2A2x=-4x%2F4x=-1\" . .\r
\n" ); document.write( "\n" ); document.write( "so: \r
\n" ); document.write( "\n" ); document.write( "\"A%5E2+%2B-+2AB+%2B+B%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%282x%29%5E2+-2%2A2x%28-1%29%2B%28-1%29%5E2+=%282x+%2B+1%29%5E2\"
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