document.write( "Question 197424: I have tried everything for this problem and I cannot get the answer.
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Algebra.Com's Answer #148036 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
I have tried everything for this problem and I cannot get the answer.
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document.write( "I have tried everything for this problem and I cannot get the answer.\r\n" );
document.write( "The directions say to expand it.\r\n" );
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document.write( " (t+2)(t2+4t-3)\r\n" );
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document.write( "There are 2 terms in the left set of parentheses,\r\n" );
document.write( "and 3 terms in the right set of parentheses.  Therefore\r\n" );
document.write( "there are 2 x 3 or 6 multiplications we must make to\r\n" );
document.write( "remove both parentheses:\r\n" );
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document.write( "Multiply the t in the left set of parentheses by the\r\n" );
document.write( "the t2 in the right set of parentheses, getting\r\n" );
document.write( "t3, so we write that down on the line below it:\r\n" );
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document.write( " (t+2)(t2+4t-3)\r\n" );
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document.write( "  t3\r\n" );
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document.write( "Multiply the t in the left set of parentheses by the\r\n" );
document.write( "the +4t in the right set of parentheses, getting\r\n" );
document.write( "+4t2, so we write that down next:\r\n" );
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document.write( " (t+2)(t2+4t-3)\r\n" );
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document.write( "  t3+4t2\r\n" );
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document.write( "Multiply the t in the left set of parentheses by the\r\n" );
document.write( "the -3 in the right set of parentheses, getting\r\n" );
document.write( "-3t, so we write that down next:  \r\n" );
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document.write( " (t+2)(t2+4t-3)\r\n" );
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document.write( "  t3+4t2-3t\r\n" );
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document.write( "---\r\n" );
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document.write( "Multiply the +2 in the left set of parentheses by the\r\n" );
document.write( "the t2 in the right set of parentheses, getting\r\n" );
document.write( "+2t2, so we write that:\r\n" );
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document.write( " (t+2)(t2+4t-3)\r\n" );
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document.write( "  t3+4t2-3t+2t2 \r\n" );
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document.write( "Multiply the +2 in the left set of parentheses by the\r\n" );
document.write( "the +4t in the right set of parentheses, getting\r\n" );
document.write( "+8t, so we write that down next:\r\n" );
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document.write( " (t+2)(t2+4t-3)\r\n" );
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document.write( "  t3+4t2-3t+2t2+8t\r\n" );
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document.write( "Multiply the +2 in the left set of parentheses by the\r\n" );
document.write( "the -3 in the right set of parentheses, getting\r\n" );
document.write( "-6, so we write that down next:  \r\n" );
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document.write( " (t+2)(t2+4t-3)\r\n" );
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document.write( "  t3+4t2-3t+2t2+8t-6\r\n" );
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document.write( "At this stage, before combining like terms, we should \r\n" );
document.write( "always count the terms to make sure we have the same\r\n" );
document.write( "number of terms as the number of terms in the set of \r\n" );
document.write( "parentheses on the left times the number of terms in \r\n" );
document.write( "the set of parentheses on the right, which in this\r\n" );
document.write( "case is 2x3 or 6. And we do have 6 terms before we\r\n" );
document.write( "combine any of them.\r\n" );
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document.write( "Finally we combine all like terms:\r\n" );
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document.write( "  t3+4t2-3t+2t2+8t-6\r\n" );
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document.write( "We combine the +4t2 and the +2t2\r\n" );
document.write( "to get +6t2.  Also we combine the -3t \r\n" );
document.write( "and the +8t to get +t.  So we end up with:\r\n" );
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document.write( "  t3+6t2+5t-6\r\n" );
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document.write( "That's it!  Notice how the red expressions below form \r\n" );
document.write( "a pattern of the 6 multiplications of every term in the \r\n" );
document.write( "left set of parentheses times every term in the right \r\n" );
document.write( "set of parentheses:\r\n" );
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document.write( "1. (t+2)(t2+4t-3)\r\n" );
document.write( "2. (t+2)(t2+4t-3)\r\n" );
document.write( "3. (t+2)(t2+4t-3)\r\n" );
document.write( "4. (t+2)(t2+4t-3)\r\n" );
document.write( "5. (t+2)(t2+4t-3)\r\n" );
document.write( "6. (t+2)(t2+4t-3)\r\n" );
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document.write( "Edwin
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