document.write( "Question 1000816: This is at the end of our chapter where we learned about arithmetic and geometric sequences and the binomial theorem. The question is: Expand the binomial in the difference quotient and simplify. I'm given [f(x+h)-f(x)] divided by h, I'm then given f(x)=x cubed. I don't get how this relates to series, sequences, their sums, or finding the Nth term, if you could explain the connection as well, I would appreciate it so much. \n" ); document.write( "

Algebra.Com's Answer #618141 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
\"... and the binomial theorem.\" You mostly need to expand that part in the difference quotient, specifically this part of the expression:\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%2Bh%29=%28x%2Bh%29%5E3\"$ and refer directly to the binomial theorem formula to be really formal about this. To be simpler about this, $\"%28x%2Bh%29%5E3=x%5E3%2B3%2Ax%5E2%2Ah%2B3x%2Ah%5E2%2Bh%5E3\"$ . \n" ); document.write( "

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