query: How do I solve a problem with term $a^{n} + b^{n}$?
positive_passages.docid: 149355
positive_passages.text: find $\left( \frac{x}{x+y} \right)^{2007} + \left( \frac{y}{x+y} \right)^{2007}$
negative_passages.docid: 156468
negative_passages.text: Solutions to $a+b+c=12$, $a, b, c \in \mathbb{N}_0$
negative_passages.docid: 152039
negative_passages.text: Prove that $a^{2^n}=1 \mod 2^{n+2}$
negative_passages.docid: 69136
negative_passages.text: factorization of a^n+1?
negative_passages.docid: 74222
negative_passages.text: If $a+b=1$ then $a^{4b^2}+b^{4a^2}\leq1$
negative_passages.docid: 84335
negative_passages.text: Solving for $\sum_{n = 1}^{\infty} \frac{n^3}{8^n}$?
negative_passages.docid: 126214
negative_passages.text: Multiplying Binomial Terms
negative_passages.docid: 144515
negative_passages.text: Equation with high exponents
negative_passages.docid: 18903
negative_passages.text: Finding solutions to equation of the form $1+x+x^{2} + \cdots + x^{m} = y^{n}$
negative_passages.docid: 123275
negative_passages.text: Prove $[A,B^n] = nB^{n-1}[A,B]$
negative_passages.docid: 114506
negative_passages.text: Expansion of $(1+\sqrt{2})^n$
negative_passages.docid: 33495
negative_passages.text: A limit problem about $a_{n+1}=a_n+\frac{n}{a_n}$
negative_passages.docid: 69131
negative_passages.text: Different proofs of $\,a^n-b^n =(a-b)\sum_{i=0}^{n-1} a^i b^{n-1-i} $?
negative_passages.docid: 15985
negative_passages.text: simplify $(a_1 + a_2 +a_3+... +a_n)^m$
negative_passages.docid: 10105
negative_passages.text: Proving $\, a^b = (a\bmod n)^b\, \pmod{\!n}\ $ [Congruence Power Rule]
negative_passages.docid: 78309
negative_passages.text: On an expansion of $(1+a+a^2+\cdots+a^n)^2$
negative_passages.docid: 12694
negative_passages.text: Why does $a^n - b^n$ never divide $a^n + b^n$?