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You can put this solution on YOUR website!
Given to multiply:
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\n" ); document.write( "One way to do this is to multiply using the FOIL rule ... multiply the First terms in each set
\n" ); document.write( "of parentheses (in this case m times m), then multiply the Outside terms (m times - 4n), then
\n" ); document.write( "multiply the Inside terms (-4n times m), and then multiply the Last terms (-4n times -4n).
\n" ); document.write( "Then you simplify the results by combining like terms.
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\n" ); document.write( "I prefer to look at it in a little different fashion because the FOIL rule (firsts, outsides
\n" ); document.write( "insides, lasts) is really set up for binomials ... two sets of parentheses with two terms in
\n" ); document.write( "each set. The approach I use works just as well, but it works no matter how many terms are in
\n" ); document.write( "each set of parentheses.
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\n" ); document.write( "The approach I use is to take the first term in the first set of parentheses and use it to
\n" ); document.write( "multiply each of the terms in the second set of parentheses. Once that is done, take the second
\n" ); document.write( "term in the first set of parentheses and use it to multiply each of the terms in the second set
\n" ); document.write( "of parentheses. If there are more terms in the first set of parentheses, just take them one
\n" ); document.write( "at a time and use them to multiply all the terms in the second set of parentheses. Once
\n" ); document.write( "that is done, simplify the results by combining like terms in all the products.
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\n" ); document.write( "In this problem you had:
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\n" ); document.write( "Take the m in the first set of parentheses and multiply it by the m and then by the -4n in
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\n" ); document.write( "Next take the second term in the first set of parentheses ... -4n and use it to multiply each of
\n" ); document.write( "the terms in the second set of parentheses. When you do, you get a product of:
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\n" ); document.write( "Now combine all the terms. The two products are:
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\n" ); document.write( "Note that the terms -4mn and -4mn combine to give -8mn. There are no other common terms.
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\n" ); document.write( "Hope this helps you to understand a way of multiplying two quantities, each with multiple terms.
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