document.write( "Question 1040820: What is the coefficient of x^-5 in the expansion of (x^3 - 1/x^2)^10? \n" ); document.write( "

Algebra.Com's Answer #655880 by robertb(5830) $\"\"$ $\"About$

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The binomial expansion formula as applied in this case is as follows:\r
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\n" ); document.write( "\n" ); document.write( "= $\"sum%28%28-1%29%5Ek%2A%28matrix%282%2C1%2C10%2Ck%29%29%2Ax%5E%2830-5k%29%2Ck=0%2C+10%29\"$ \r
\n" ); document.write( "\n" ); document.write( "==> 30-5k = -5 ==> -5k = -35 ==> k = 7.\r
\n" ); document.write( "\n" ); document.write( "Hence the coefficient of $\"x%5E%28-5%29\"$ is $\"%28-1%29%5E7%2A%28matrix%282%2C1%2C10%2C7%29%29+=+-120\"$ . \n" ); document.write( "

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