document.write( "Question 183219: (3z^4 - 8)^2 \n" ); document.write( "
Algebra.Com's Answer #137566 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\"%283z%5E4-8%29%5E2\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%283z%5E4-8%29%283z%5E4-8%29\" Expand. Remember something like \"x%5E2=x%2Ax\".\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%283z%5E4%29-8%29%28highlight%283z%5E4%29-8%29\" Multiply the First terms:\"%283%2Az%5E4%29%2A%283%2Az%5E4%29=9%2Az%5E8\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%283z%5E4%29-8%29%283z%5E4%2Bhighlight%28-8%29%29\" Multiply the Outer terms:\"%283%2Az%5E4%29%2A%28-8%29=-24%2Az%5E4\".\r
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\n" ); document.write( "\n" ); document.write( "\"%283z%5E4%2Bhighlight%28-8%29%29%28highlight%283z%5E4%29-8%29\" Multiply the Inner terms:\"%28-8%29%2A%283%2Az%5E4%29=-24%2Az%5E4\".\r
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\n" ); document.write( "\n" ); document.write( "\"%283z%5E4%2Bhighlight%28-8%29%29%283z%5E4%2Bhighlight%28-8%29%29\" Multiply the Last terms:\"%28-8%29%2A%28-8%29=64\".\r
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\n" ); document.write( "\n" ); document.write( "So we have the terms: \"9%2Az%5E8\", \"-24%2Az%5E4\", \"-24%2Az%5E4\", and \"64\" \r
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\n" ); document.write( "\n" ); document.write( "\"9%2Az%5E8-24%2Az%5E4-24%2Az%5E4%2B64\" Now collect every term listed above to make a single expression.\r
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\n" ); document.write( "\n" ); document.write( "\"9%2Az%5E8-48%2Az%5E4%2B64\" Now combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"%283z%5E4-8%29%5E2\" FOILs to \"9%2Az%5E8-48%2Az%5E4%2B64\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%283z%5E4-8%29%5E2=9%2Az%5E8-48%2Az%5E4%2B64\".
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