WebThe multinomial theorem describes how to expand the power of a sum of more than two terms. It is a generalization of the binomial theorem to polynomials with any number of terms. It expresses a power (x_1 + x_2 + \cdots + x_k)^n (x1 + x2 +⋯+xk)n as a weighted sum of monomials of the form x_1^ {b_1} x_2^ {b_2} \cdots x_k^ {b_k}, x1b1x2b2 ⋯ ... WebMar 1, 2024 · We only care about 7xy6, cause it's the only term involving x. In your example y = −3, thus. 7( −3)6x = 7 ⋅ 729x = 5103x. The coefficient of x is 5103. Answer link.

How do you find the coefficient of #x^7" in "(1+x)^11#? - Socratic.org

WebJul 4, 2016 · Explanation: In the Expansion of (a + b)n, the (r +1)th term, denoted by tr+1, is given by, tr+1 = nCr ⋅ an−r ⋅ br. Letting a = 1,b = x,n = 11, we have, tr+1 = 11Cr ⋅ 111−r ⋅ xr = 11Cr ⋅ xr .# As we need the co-eff. of x7, we have to take r = 7, giving the reqd. co-eff. 11C7 = 11C11−7 = 11C4 = { 11 ⋅ 10 ⋅ 9 ⋅ 8 1 ⋅ 2 ⋅ 3 ⋅ 4 } = 330. Answer link WebAug 30, 2024 · 1 Question is to find coefficient of x 7 in Taylor series expansion of arcsin (x) around x=0. It will be very lengthy to go on computing seven derivatives. Am I missing … peony flower sketch

Coefficient independent of x in the expansion of (3x2-1/2x5)7 is?

Web1. The coefficient of x^3y^7 in the expansion of (5x+5y)^10 is ______ and The constant term in the expansion of (5x+5x)^20 is _______ This problem has been solved! You'll get a … WebApr 15, 2024 · If the coefficients of three consecutive terms in the expansion of (1+x)n are in the ratio 1:5:20, then the coefficient of the fourth term of the expansion is? top … WebGet detailed solutions to your math problems with our Numerical coefficients step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here! coef ( 7x2y3z4) Go! . ( ) / ÷ 2 √ √ ∞ e π ln log log lim d/dx D x ∫ ∫ θ = > < >= <= sin cos tan cot sec csc peony flowers in vase