document.write( "Question 201151: (3x-2y)2=\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #151385 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"%283x-2y%29%5E2\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283x-2y%29%283x-2y%29\" Expand. Remember something like \"x%5E2=x%2Ax\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now let's FOIL the expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Remember, when you FOIL an expression, you follow this procedure:\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28highlight%283x%29-2y%29%28highlight%283x%29-2y%29\" Multiply the First terms:\"%283%2Ax%29%2A%283%2Ax%29=9%2Ax%5E2\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28highlight%283x%29-2y%29%283x%2Bhighlight%28-2y%29%29\" Multiply the Outer terms:\"%283%2Ax%29%2A%28-2%2Ay%29=-6%2Ax%2Ay\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283x%2Bhighlight%28-2y%29%29%28highlight%283x%29-2y%29\" Multiply the Inner terms:\"%28-2%2Ay%29%2A%283%2Ax%29=-6%2Ax%2Ay\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283x%2Bhighlight%28-2y%29%29%283x%2Bhighlight%28-2y%29%29\" Multiply the Last terms:\"%28-2%2Ay%29%2A%28-2%2Ay%29=4%2Ay%5E2\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "So we have the terms: \"9%2Ax%5E2\", \"-6%2Ax%2Ay\", \"-6%2Ax%2Ay\", and \"4%2Ay%5E2\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"9%2Ax%5E2-6%2Ax%2Ay-6%2Ax%2Ay%2B4%2Ay%5E2\" Now add every term listed above to make a single expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"9%2Ax%5E2-12%2Ax%2Ay%2B4%2Ay%5E2\" Now combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%283x-2y%29%5E2\" FOILs to \"9%2Ax%5E2-12%2Ax%2Ay%2B4%2Ay%5E2\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In other words, \"%283x-2y%29%5E2=9%2Ax%5E2-12%2Ax%2Ay%2B4%2Ay%5E2\".
\n" ); document.write( "
\n" ); document.write( "
\n" );