(D) For any odd positive integer $n$,the expression $a^n + b^n$ can be expanded using the binomial theorem or algebraic factorization.Specifically,$a^

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(D) For any odd positive integer $n$,the expression $a^n + b^n$ can be expanded using the binomial theorem or algebraic factorization.Specifically,$a^n + b^n = (a + b)(a^{n-1} - a^{n-2}b + a^{n-3}b^2 - \dots + b^{n-1})$.Therefore,$a^n + b^n$ is always divisible by $(a + b)$ when $n$ is an odd positive integer.

Class 11 Mathematics Binomial Theorem Divisibility problems

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$a^n + b^n$ is divisible by which of the following if $n$ is any odd positive integer?

AP EAMCET 2020 All AP EAMCET

A
$a - b$
B
$a^2 - b^2$
C
$a^2 + b^2$
D
$a + b$

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$a^n + b^n$ is divisible by which of the following if $n$ is any odd positive integer?

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