Which of the following is the third term in the expansion of (8 – x)^3?

Question

anonymous · Answer

3 * 8 * x^2
= 24x^2

anonymous · Answer

Using the identity.

anonymous · Answer

(8-x)^3
(8-x)(8-x)(8-x)
(64-16x+x^2)(8-x)
(512-128x+8x^2-64x+16x^2-x^3)
-x^3+24x^2-192x+512

So the third term is -192x

anonymous · Answer

You can use the identity. 
According to the identity, the third term is 3xy^2. So the third term is 24x^2.

anonymous · Answer

Yellowranger has given us the second term instead of the third one.......

anonymous · Answer

Use the binomial theorem:
$$(a+b)^n=\sum_{k=0}^{n} \left(\begin{matrix}n \ k\end{matrix}\right)a^{n-k} b^{k}$$
Replace n with 3 giving:
$$(a+b)^3=\sum_{k=0}^{3}\left(\begin{matrix}3 \ k\end{matrix}\right)a^{3-k} b^{k}=a^3+3a^2b+3ab^2+b^3$$

anonymous · Answer

So am I right?

anonymous · Answer

http://www.wolframalpha.com/input/?i=expand+(8-x)%5E3

anonymous · Answer

Once again pratu has been cooler than me at answering math questions. I counted to three from left to right like the misinformed miscreant that I am . Thank you, pratu.