document.write( "Question 514066: (3r-2t)^4\r
\n" ); document.write( "\n" ); document.write( "I have tried it a couple of ways the teacher showed me one of them was\r
\n" ); document.write( "\n" ); document.write( "[(3r-2t)^2]^2 \r
\n" ); document.write( "\n" ); document.write( "I also did it where I wrote it all out. The biggest problem I am having is when I start getting in, to putting the variables r and t together I am messing it up I believe in how I put them together. I am needing more help on the variable combinations and keeping them straight.\r
\n" ); document.write( "\n" ); document.write( "The main way he shows us to do these polynomials is\r
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\n" ); document.write( "\n" ); document.write( "example:
\n" ); document.write( "(x+3)(x^2+3x-1) x3 + 3x^2 - x
\n" ); document.write( " 3x^2 - 9x - 3
\n" ); document.write( "Equals: x3 + 6x^2 - 10x - 3\r
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\n" ); document.write( "\n" ); document.write( "Please help me in any way possible I would be grateful.\r
\n" ); document.write( "\n" ); document.write( "Lindsay Clay
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Algebra.Com's Answer #343290 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "(3r-2t)⁴\r\n" );
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document.write( "I like the way your teacher showed you:\r\n" );
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document.write( " [(3r-2t)²]²\r\n" );
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document.write( "You need this two step rule for squaring any polynomial:\r\n" );
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document.write( "To square any polynomial, the two-step rule is\r\n" );
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document.write( "The sum of:\r\n" );
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document.write( "1. the squares of every term: \r\n" );
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document.write( "plus the sum of\r\n" );
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document.write( "2. Twice every product of every pair of terms. \r\n" );
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document.write( "Let's do it this way:\r\n" );
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document.write( " [(3r-2t)²]²\r\n" );
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document.write( "Do the inside (3r-2t)² first by the two-step rule:\r\n" );
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document.write( "The sum of:\r\n" );
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document.write( "1. the squares of every term: \r\n" );
document.write( " (3r)² + (-2t)² = 9r² + 4t² \r\n" );
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document.write( "plus\r\n" );
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document.write( "2. twice every product of every pair of terms.  \r\n" );
document.write( "(there's only one pair) 2(3r)(-2t) = -12rt\r\n" );
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document.write( "So [(3r-2t)²]² becomes\r\n" );
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document.write( "[9r² + 4t² - 12rt]²\r\n" );
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document.write( "Use the two-step rule again:\r\n" );
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document.write( "The sum of:\r\n" );
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document.write( "1. the squares of every term: \r\n" );
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document.write( "(9r²)² + (4t²)² + (-12rt)² = 81r⁴+ 16t⁴+ 144r²t² \r\n" );
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document.write( "plus the sum of\r\n" );
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document.write( "2. Twice every product of every pair of terms. \r\n" );
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document.write( "2(9r²)(4t²) + 2(9r²)(-12rt) + 2(4t²)(-12rt) = \r\n" );
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document.write( "     72r²t² - 216r³t - 96rt³ \r\n" );
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document.write( "So we have:\r\n" );
document.write( "  \r\n" );
document.write( "81r⁴+ 16t⁴+ 144r²t² + 72r²t² - 216r³t - 96rt³\r\n" );
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document.write( "The terms in r²t² combine and so the final answer is\r\n" );
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document.write( "81r⁴+ 16t⁴+ 216r²t² - 216r³t - 96rt³\r\n" );
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document.write( "Edwin

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