Answer: 15
Step-by-step explanation:
(r+1)th term of 
is given by:-
For 
, n= 6
![=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2](https://tex.z-dn.net/?f=%3D%5C%20%5Cdfrac%7B6%21%7D%7B4%212%21%7Da%5E4b%5E2%5C%20%5C%20%5C%20%5B%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B6%5Ctimes5%5Ctimes4%21%7D%7B4%21%5Ctimes2%7Da%5E4b%5E2%5C%5C%5C%5C%3D3%5Ctimes5a%5E4b%5E2%5C%5C%5C%5C%20%3D15a%5E4b%5E2)
Hence, the coefficient of the third term in the binomial expansion of is 15.
Answer:
Nope
Step-by-step explanation:
Since they both have different variables they aren’t like terms
Answer:
$80 was on the gift card to begin with
Step-by-step explanation:
Let the initial money be x
Peter spent (1/2)*x
Peter added 10
<em>Before adding more money on the gift card Peter had x -(1/2)x left on the gift card which is (1/2)x</em>
<em>After loading more money Peter had (1/2)x + 10</em>
(1/2)x = 40 <em>(money spent by Peter)</em>
x/2 = 40
x = 80
Answer:
5 days
Step-by-step explanation:
1/2 + 1/2 = 3 (2 days) times by 2 makes it 4 days and finally 5th day 7 1/2
So basically u keep the x on one side and the rest on the other. Get a common denominator. to get rid of the half u times both sides by 2.
hope this helps
