document.write( "Question 253001: Multiply ( x^2 + 4 / x^2 – 4) (x - 2 / x + 2) \n" ); document.write( "
Algebra.Com's Answer #185282 by jim_thompson5910(35256)\"\" \"About 
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\"+%28%28x%5E2%2B4%29%2F%28x%5E2-4%29%29%28%28x-2%29%2F%28x%2B2%29%29+\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%5E2%2B4%29%2F%28%28x-2%29%28x%2B2%29%29%29%28%28x-2%29%2F%28x%2B2%29%29\" Factor \"x%5E2-4\" to get \"%28x-2%29%28x%2B2%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"+%28%28x%5E2%2B4%29%28x-2%29%29%2F%28%28x-2%29%28x%2B2%29%28x%2B2%29%29+\" Combine the fractions. \r
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\n" ); document.write( "\n" ); document.write( " Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%5E2%2B4%29cross%28%28x-2%29%29%29%2F%28cross%28%28x-2%29%29%28x%2B2%29%28x%2B2%29%29\" Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B4%29%2F%28%28x%2B2%29%28x%2B2%29%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B4%29%2F%28x%5E2%2B4x%2B4%29\" FOIL.\r
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\n" ); document.write( "\n" ); document.write( "So \"%28%28x%5E2%2B4%29%2F%28x%5E2-4%29%29%28%28x-2%29%2F%28x%2B2%29%29\" simplifies to \"%28x%5E2%2B4%29%2F%28x%5E2%2B4x%2B4%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, where \"x%3C%3E-2\" or \"x%3C%3E2\"
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