document.write( "Question 183683: Let f be the function defined by \"f%28x%29=2x%5E4%2B5\". Find f(a+h), f(2a-h). \n" ); document.write( "
Algebra.Com's Answer #137863 by jim_thompson5910(35256)\"\" \"About 
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I'll do the first one to get you started.\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29=2x%5E4%2B5\" Start with the given function.\r
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\n" ); document.write( "\n" ); document.write( "\"f%28a%2Bh%29=2%28a%2Bh%29%5E4%2B5\" Plug in \"x=a%2Bh\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%28a%2Bh%29=2%28a%2Bh%29%5E2%28a%2Bh%29%5E2%2B5\" Break up \"%28a%2Bh%29%5E4\" to get \"%28a%2Bh%29%5E2%28a%2Bh%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%28a%2Bh%29=2%28a%5E2%2B2ah%2Bh%5E2%29%28a%5E2%2B2ah%2Bh%5E2%29%2B5\" FOIL\r
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\n" ); document.write( "\n" ); document.write( " Expand\r
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\n" ); document.write( "\n" ); document.write( " Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"f%28a%2Bh%29=2%28a%5E4%2B4a%5E3h%2B6a%5E2h%5E2%2B4ah%5E3%2Bh%5E4%29%2B5\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"f%28a%2Bh%29=2a%5E4%2B8a%5E3h%2B12a%5E2h%5E2%2B8ah%5E3%2B2h%5E4%2B5\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "So the answer is \"f%28a%2Bh%29=2a%5E4%2B8a%5E3h%2B12a%5E2h%5E2%2B8ah%5E3%2B2h%5E4%2B5\"
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