Given:
The expression: (1 + x)^n
The Binomial Theorem is used to predict the products of a binomial raised to a certain power, n, without multiplying the terms one by one.
The following formula is used:
(a + b)^n = nCk * a^(n-k) * b^k
we have (1 +x)^n,
where a = 1
b = x
let n = 4
First term, k = 1
4C1 = 4
first term: 4*(1^(4-1))*x^1
Therefore, the first term is 4x. Do the same for the next three terms.
2nd term: k =2
3rd term: k = 3
4th term: k = 4
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Answer:
n = 13
Step-by-step explanation:
1/5(n + 3) + 4 = 3/10(2n - 2)
~Simplify both sides
1/5n + 3/5 + 4 = 3/5n - 3/5
~Combine like terms
1/5n + 23/5 = 3/5n - 3/5
~Subtract 23/5 to both sides
1/5n = 3/5n - 26/5
~Multiply 5 to both sides
n = 3n - 26
~Subtract 3n to both sides
-2n = -26
~Divide -2 to both sides
n = 13
Best of Luck!
$ 1.85 you divide 22.20 by 12
