document.write( "Question 193778: What do you get as an answer when you multiply(x^2+y^2)(x^2+y^2) \n" ); document.write( "
Algebra.Com's Answer #145467 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2By%5E2%29%28x%5E2%2By%5E2%29\" Start with the given expression.\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%28x%5E2%29%2By%5E2%29%28highlight%28x%5E2%29%2By%5E2%29\" Multiply the First terms:\"%28x%5E2%29%2A%28x%5E2%29=x%5E4\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%28x%5E2%29%2By%5E2%29%28x%5E2%2Bhighlight%28y%5E2%29%29\" Multiply the Outer terms:\"%28x%5E2%29%2A%28y%5E2%29=x%5E2%2Ay%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2Bhighlight%28y%5E2%29%29%28highlight%28x%5E2%29%2By%5E2%29\" Multiply the Inner terms:\"%28y%5E2%29%2A%28x%5E2%29=x%5E2%2Ay%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2Bhighlight%28y%5E2%29%29%28x%5E2%2Bhighlight%28y%5E2%29%29\" Multiply the Last terms:\"%28y%5E2%29%2A%28y%5E2%29=y%5E4\".\r
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\n" ); document.write( "\n" ); document.write( "So we have the terms: \"x%5E4\", \"x%5E2%2Ay%5E2\", \"x%5E2%2Ay%5E2\", and \"y%5E4\" \r
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\n" ); document.write( "\n" ); document.write( "\"x%5E4%2Bx%5E2%2Ay%5E2%2Bx%5E2%2Ay%5E2%2By%5E4\" Now add every term listed above to make a single expression.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E4%2B2%2Ax%5E2%2Ay%5E2%2By%5E4\" Now combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"%28x%5E2%2By%5E2%29%28x%5E2%2By%5E2%29\" FOILs to \"x%5E4%2B2%2Ax%5E2%2Ay%5E2%2By%5E4\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28x%5E2%2By%5E2%29%28x%5E2%2By%5E2%29=x%5E4%2B2%2Ax%5E2%2Ay%5E2%2By%5E4\".\r
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