Binomial Theorem Assignment and Homework Help
The expression of the form (x + y) is called a binomial.
(x+y) n = nC0xn + nC1xn-1y + nC2xn-2y2 + ........+ nCn-1xyn-1 + nCnyn
Where nC0, nC1, nC2,......, nCn
Observations in a Binomial Expansion
i. The expansion of (x + y)n has (n+1) terms.
ii. Since nCr = nCn-r we have nC0 = nCn; nC1 = nCn-1; and so on.
Thus the coefficients of the terms equidistant from the beginning and the end in a binomial expansion are equal.
iii. General Term in the expansion of (x + y) n
General Term = (r + 1)th term, tr+1 = nCrxn-ryr
iv. Middle Term in the expansion of (x + y) n
We know that the expansion of (x + y)n has (n + 1) terms.
I. When n is even, the middle term = (n/2 + 1)th term.
II. When n is odd, the middle terms are
½(n + 1)th term and {1/2(n + 1) + 1}th term.
Live Online 24*7 Homework Assignment Help in Binomial Theorem
Tutors Kingdom provides the assignment and homework help related to binomial theorem round the clock by our tutors which have specialization in the field of mathematics. The assignment help or the homework help at Tutors Kingdom is not only cost effective but it also promises to resolve your problem within the due time, may it be in hours or in few days. You can submit the homework and all the doubts will get cleared.
