Binomial Newton formula is used for expanding expressions in the form of (a+b)^n where n is a non-negative integer. The formula can be written as:
(a+b)^n = C(n,0) a^n b^0 + C(n,1) a^(n-1) b^1 + C(n,2) a^(n-2) b^2 + ... + C(n,n-1) a^1 b^(n-1) + C(n,n) a^0 b^n
Where C(n,k) is the binomial coefficient and is calculated as C(n,k) = n! / (k! * (n-k)!)
For example, if we have a=2, b=10 and n=2, the expansion of (2+10)^2 using the binomial Newton formula would be:
(2+10)^2 = C(2,0) 2^2 10^0 + C(2,1) 2^1 10^1 + C(2,2) 2^0 10^2= 1 2^2 1 + 2 2 10 + 1 1 10^2= 4 + 40 + 100= 144
So, (2+10)^2 is equal to 144.
Binomial Newton formula is used for expanding expressions in the form of (a+b)^n where n is a non-negative integer. The formula can be written as:
(a+b)^n = C(n,0) a^n b^0 + C(n,1) a^(n-1) b^1 + C(n,2) a^(n-2) b^2 + ... + C(n,n-1) a^1 b^(n-1) + C(n,n) a^0 b^n
Where C(n,k) is the binomial coefficient and is calculated as C(n,k) = n! / (k! * (n-k)!)
For example, if we have a=2, b=10 and n=2, the expansion of (2+10)^2 using the binomial Newton formula would be:
(2+10)^2 = C(2,0) 2^2 10^0 + C(2,1) 2^1 10^1 + C(2,2) 2^0 10^2
= 1 2^2 1 + 2 2 10 + 1 1 10^2
= 4 + 40 + 100
= 144
So, (2+10)^2 is equal to 144.