document.write( "Question 185543: (5x^2-1)^2 \n" ); document.write( "
Algebra.Com's Answer #139195 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"%285x%5E2-1%29%5E2\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%285x%5E2-1%29%285x%5E2-1%29\" Expand. Remember something like \"A%5E2=A%2AA\".\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%285x%5E2%29-1%29%28highlight%285x%5E2%29-1%29\" Multiply the First terms:\"%285%2Ax%5E2%29%2A%285%2Ax%5E2%29=25%2Ax%5E4\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%285x%5E2%29-1%29%285x%5E2%2Bhighlight%28-1%29%29\" Multiply the Outer terms:\"%285%2Ax%5E2%29%2A%28-1%29=-5%2Ax%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"%285x%5E2%2Bhighlight%28-1%29%29%28highlight%285x%5E2%29-1%29\" Multiply the Inner terms:\"%28-1%29%2A%285%2Ax%5E2%29=-5%2Ax%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"%285x%5E2%2Bhighlight%28-1%29%29%285x%5E2%2Bhighlight%28-1%29%29\" Multiply the Last terms:\"%28-1%29%2A%28-1%29=1\".\r
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\n" ); document.write( "\n" ); document.write( "So we have the terms: \"25%2Ax%5E4\", \"-5%2Ax%5E2\", \"-5%2Ax%5E2\", and \"1\" \r
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\n" ); document.write( "\n" ); document.write( "\"25%2Ax%5E4-5%2Ax%5E2-5%2Ax%5E2%2B1\" Now add every term listed above to make a single expression.\r
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\n" ); document.write( "\n" ); document.write( "\"25%2Ax%5E4-10%2Ax%5E2%2B1\" Now combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"%285x%5E2-1%29%5E2\" FOILs to \"25%2Ax%5E4-10%2Ax%5E2%2B1\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%285x%5E2-1%29%5E2=25%2Ax%5E4-10%2Ax%5E2%2B1\".\r
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