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Finding the term independent of $x$ from $2$ expansions.

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#binomial-theorem
223
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Binomial expansion of $\frac{1}{1+x+x^2}$ up to the first three terms

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#binomial-theorem
345
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Find the values of $a$ and $b$ when the binomial expansion of $\frac{1}{(1+ax)^b}+\frac{1}{(1+bx)^a} = 2-6x+15x^2$

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#binomial-theorem
73
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Prove that $(n+2)^n < (n+1)^{n+1}$ for all $n \in \Bbb N$

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#proof-writing #binomial-theorem
627
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Binomial Expansion to the power of a non-natural number

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#binomial-theorem
132
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What is the coefficient of the term $x^3y^5$, as a result of the binomial expansion of the following term?

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#taylor-expansion #binomial-coefficients #binomial-theorem
148
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Binomial sum of $\sum\limits_{k=0}^{n} k \binom{n}{k} (-1)^{k-1} 2^{n-k}$

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#combinatorics #summation #binomial-theorem
59
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2n-th derivation of Legendre Polynomial

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#derivatives #binomial-theorem #legendre-polynomials
80
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Coefficient in binomial expansion

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#binomial-coefficients #binomial-theorem
1.3k
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Intuitive understanding of the binomial theorem?

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#combinatorics #binomial-theorem
145
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Find the coefficient of $x^3$ in the expansion of $(1+x+x^2)^3$ using Binomial theorem.

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#binomial-theorem
724
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Numerical differentiation with Binomial Theorem

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#calculus #real-analysis #derivatives #binomial-coefficients #binomial-theorem
118
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Calculating coefficient

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#binomial-coefficients #binomial-theorem
42
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Trying to evaluate the constant term

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#algebra-precalculus #binomial-theorem
31
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Small induction problem.

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#induction #binomial-theorem

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