Apr 16, 2016 · 1-x-x^2+x^3) = (1-x)-x^2(1-x) = (1-x)(1-x^2) = (1-x)^2(1+x) Given expression = { (1-x)^2(1+x)}^6 = (1-x)^12 (1+x)^6 Coefficient of x^n in ...
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Dec 5, 2017 · is a multinomial coefficient. The sum is taken over all combinations of non-negative integer indices k1, through km such that the sum of all ...
Mar 24, 2020 · We have only to look at the coefficients on x^2 and of x in the expansion of (1+2x)^6, and then multiply the coefficient of x by -1, ...
Aug 27, 2022 · What is the coefficient of x7 x 7 in the expansion of (1−x−x2+x3)6 ( 1 − x − x 2 + x 3 ) 6 ? I would use the crazy multinomial theorem.
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Posted: Mar 28, 2018
Posted: Mar 28, 2018
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Dec 3, 2015 · The key idea to solving this problem is to realize that there exists a one-to-one correspondence between the number of integral solutions of ...
Oct 13, 2019 · ... bracket is x7, the coefficient of y3⋅x6 is (53)×(76). Doing this for the other cases gives a total of: (53)(1×(76)+2×(75)+1×(74)). =840.
In mathematics, a polynomial is a mathematical expression consisting of indeterminates and coefficients, that involves only the operations of addition, ...
What is the coefficient of x65 in the expansion of (1+x)131⋅(x2−x+1)130?
Apr 12, 2018 · (212+1)x+(212−1)x=6x ( 2 1 2 + 1 ) x + ( 2 1 2 − 1 ) x = 6 x . What is x x ? We want the solution of the equation (√2+1)x+(√2−1)x=6x. ( 2 + ...