document.write( "Question 1043620: If \"k=%28%28x%2B1%29%28x-1%29%29%2F3\" and k=0, what does \"3x%5E2\" equal in terms of k?
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\n" ); document.write( "B) 9k
\n" ); document.write( "C) 3k+1
\n" ); document.write( "D) 9k+3
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Algebra.Com's Answer #658770 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "First solve for x^2\r
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\n" ); document.write( "\n" ); document.write( "\"k+=+%28%28x%2B1%29%28x-1%29%29%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "\"3k+=+3%2A%28%28%28x%2B1%29%28x-1%29%29%2F3%29\" Multiply both sides by 3\r
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\n" ); document.write( "\n" ); document.write( "\"3k+=+%28x%2B1%29%28x-1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"3k+=+x%5E2-1\" Use the difference of squares rule\r
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\n" ); document.write( "\n" ); document.write( "\"3k%2B1+=+x%5E2-1%2B1\" Add 1 to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"3k%2B1+=+x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2+=+3k%2B1\"\r
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\n" ); document.write( "\n" ); document.write( "Now multiply both sides by 3\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2+=+3k%2B1\"\r
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\n" ); document.write( "\n" ); document.write( "\"3x%5E2+=+3%283k%2B1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"3x%5E2+=+9k%2B3\"\r
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\n" ); document.write( "\n" ); document.write( "The final answer is choice D) 9k+3\r
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