document.write( "Question 148774: (3x + 2y)2 \n" ); document.write( "
Algebra.Com's Answer #109112 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"%283x%2B2y%29%5E2\" Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( "\"%283x%2B2y%29%283x%2B2y%29\" Expand. Remember something like \"x%5E2=x%2Ax\"\r
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\n" ); document.write( "\n" ); document.write( "Now let's FOIL the expression\r
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\n" ); document.write( "\n" ); document.write( "Remember, when you FOIL an expression, you follow this procedure:\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%283x%29%2B2y%29%28highlight%283x%29%2B2y%29\" Multiply the First terms:\"%283x%29%2A%283x%29=9x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%283x%29%2B2y%29%283x%2Bhighlight%282y%29%29\" Multiply the Outer terms:\"%283x%29%2A%282y%29=6xy\"\r
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\n" ); document.write( "\n" ); document.write( "\"%283x%2Bhighlight%282y%29%29%28highlight%283x%29%2B2y%29\" Multiply the Inner terms:\"%282y%29%2A%283x%29=6yx\"\r
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\n" ); document.write( "\n" ); document.write( "\"%283x%2Bhighlight%282y%29%29%283x%2Bhighlight%282y%29%29\" Multiply the Last terms:\"%282y%29%2A%282y%29=4y%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"9x%5E2%2B6xy%2B6yx%2B4y%5E2\" Now collect every term to make a single expression\r
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\n" ); document.write( "\n" ); document.write( "\"9x%5E2%2B12xy%2B4y%5E2\" Now combine like terms\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So \"%283x%2B2y%29%283x%2B2y%29\" foils and simplifies to \"9x%5E2%2B12xy%2B4y%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%283x%2B2y%29%283x%2B2y%29=9x%5E2%2B12xy%2B4y%5E2\"\r
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