Answer:
![{256x}^{4}+{256x}^{3} + {96x}^{2} + 16x + 1](https://tex.z-dn.net/?f=%20%7B256x%7D%5E%7B4%7D%2B%7B256x%7D%5E%7B3%7D%20%2B%20%7B96x%7D%5E%7B2%7D%20%2B%2016x%20%2B%201%20)
Explanation:
![{(1 + 4x)}^{4} = (1 + 4x)(1 + 4x)(1 + 4x)(1 + 4x)](https://tex.z-dn.net/?f=%20%7B%281%20%2B%204x%29%7D%5E%7B4%7D%20%20%3D%20%281%20%2B%204x%29%281%20%2B%204x%29%281%20%2B%204x%29%281%20%2B%204x%29)
The coefficient of the kth term (ordering in increasing order for the exponent of x) is just the number of ways we have to choose k factors from that expression, so if we let k be the exponent of x, and n be the total number of terms, the coefficient of x^k is ![\binom{n}{k} = \frac{n!}{k!(n-k)!}](https://tex.z-dn.net/?f=%20%5Cbinom%7Bn%7D%7Bk%7D%20%20%3D%20%20%5Cfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D%20)
Which, of course, we have to multiply for the product of the two terms.
For example, the coefficient of the third grade term in
is
So we have ![{(1 + 4x)}^{4} = \binom{4}{4} \cdot {(4x)}^{4}+\binom{4}{3} \cdot {(4x)}^{3} + \binom{4}{2} \cdot {(4x)}^{2} + \binom{4}{1} \cdot 4x + \binom{4}{0} \cdot 1](https://tex.z-dn.net/?f=%20%7B%281%20%2B%204x%29%7D%5E%7B4%7D%20%3D%20%5Cbinom%7B4%7D%7B4%7D%20%5Ccdot%20%7B%284x%29%7D%5E%7B4%7D%2B%5Cbinom%7B4%7D%7B3%7D%20%5Ccdot%20%7B%284x%29%7D%5E%7B3%7D%20%2B%20%5Cbinom%7B4%7D%7B2%7D%20%5Ccdot%20%7B%284x%29%7D%5E%7B2%7D%20%2B%20%5Cbinom%7B4%7D%7B1%7D%20%5Ccdot%204x%20%2B%20%5Cbinom%7B4%7D%7B0%7D%20%5Ccdot%201%20%20)
Which is equal to ![1 \cdot {(4x)}^{4}+4 \cdot {(4x)}^{3} + 6 \cdot {(4x)}^{2} + 4 \cdot 4x + 1 \cdot 1 = {256x}^{4}+{256x}^{3} + {96x}^{2} + 16x + 1](https://tex.z-dn.net/?f=%201%20%5Ccdot%20%7B%284x%29%7D%5E%7B4%7D%2B4%20%5Ccdot%20%7B%284x%29%7D%5E%7B3%7D%20%2B%206%20%5Ccdot%20%7B%284x%29%7D%5E%7B2%7D%20%2B%204%20%5Ccdot%204x%20%2B%201%20%5Ccdot%201%20%20%3D%20%7B256x%7D%5E%7B4%7D%2B%7B256x%7D%5E%7B3%7D%20%2B%20%7B96x%7D%5E%7B2%7D%20%2B%2016x%20%2B%201%20)
Hope this helps :)
Answer:
An oxidation reaction
Explanation:
Only one reaction happened and no reduction occurs.Hence, this the redox reaction does not happen.
<span>1. The reaction between iron and oxygen is 2Fe + 1.5O2 → Fe2O3
2. The reaction is combination.
</span><span>1. The reaction between zinc and acetic acid is
2Zn + 2C2H4O2 → 2Zn(CH3COO)2 + H2
2. The reaction between zinc and acetic acid is double displacement.
3. The evidence that a reaction was taking place is the presence of bubbles.</span>
Answer:a CPU
Explanation:
It is the brain of a computer