document.write( "Question 257280: multiply.\r
\n" ); document.write( "\n" ); document.write( "(sqrt8+3sqrt10) (sqrt8-3sqrt10)
\n" ); document.write( "any help would be appreciated. \n" ); document.write( "
Algebra.Com's Answer #189241 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%28sqrt%288%29%2B3%2Asqrt%2810%29%29%28sqrt%288%29-3%2Asqrt%2810%29%29\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let \"x=sqrt%288%29\" and \"y=3%2Asqrt%2810%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%2By%29%28x-y%29\" Replace each \"sqrt%288%29\" term with \"x\" and each \"3%2Asqrt%2810%29\" term with \"y\"\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%28x%29%2By%29%28highlight%28x%29-y%29\" Multiply the First terms:\"%28x%29%2A%28x%29=x%5E2\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28highlight%28x%29%2By%29%28x%2Bhighlight%28-y%29%29\" Multiply the Outer terms:\"%28x%29%2A%28-y%29=-x%2Ay\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%2Bhighlight%28y%29%29%28highlight%28x%29-y%29\" Multiply the Inner terms:\"%28y%29%2A%28x%29=x%2Ay\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%2Bhighlight%28y%29%29%28x%2Bhighlight%28-y%29%29\" Multiply the Last terms:\"%28y%29%2A%28-y%29=-y%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: \"x%5E2\", \"-x%2Ay\", \"x%2Ay\", \"-y%5E2\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2-x%2Ay%2Bx%2Ay-y%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( "\"x%5E2-y%5E2\" Now combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%28x%2By%29%28x-y%29\" FOILs to \"x%5E2-y%5E2\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In other words, \"%28x%2By%29%28x-y%29=x%5E2-y%5E2\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Now plug in \"x=sqrt%288%29\" and \"y=3%2Asqrt%2810%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"8-%283%2Asqrt%2810%29%29%5E2\" Square \"sqrt%288%29\" to get 8.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"8-90\" Square \"3%2Asqrt%2810%29\" to get \"%283%2Asqrt%2810%29%29%5E2=9%2A10=90\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-82\" Subtract.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "================================================================\r
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%28sqrt%288%29%2B3%2Asqrt%2810%29%29%28sqrt%288%29-3%2Asqrt%2810%29%29=-82\"
\n" ); document.write( " \n" ); document.write( "
\n" );