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expand (3+x)^5
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my answer options are alot bigger than that...
oh right. I forgot. (3+x)(3+x)(3+x)(3+x)(3+x)
243+405x+270x^2+90x^3+15x^4+x^5
that better? :)
thank you! :D
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http://www.wolframalpha.com/input/?i=Expand [%283+%2B+x%29^5] you get \[x^5+15 x^4+90 x^3+270 x^2+405 x+243 \]
You're welcome :)
\[T= \left(\begin{matrix}n \\ k\end{matrix}\right)*a^{n-k}b^k\] \((3+x)^5 \)\[=\sum_{r=0}^{5} \left(\begin{matrix}5 \\ r\end{matrix}\right)*(3)^{5-r}*(x)^{r}\]
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even you can use binomial theorem to solve this type of sum !! (a + b)^n = sum[k=0,n][(n over k)a^(n-k)b^k] or you can break it in the form of (1+x)^n form it will be more easier to u
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