Submission declined on 27 December 2023 by Cerebellum (talk).
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Comment: This content is already covered at Factorization#Recognizable patterns. So, one can use this title for a redirect to this section. Otherwise, creating an article with this title would be a WP:REDUNDANTFORK
Comment: A redirect has already been created. Unless someone objects in the next few days I will delete
Comment: I think this idea that this is a duplicate makes sense from the point of view of a mathematician but not from the more enlightened and intelligent point of view of a teacher of mathematics. Michael Hardy (talk) 04:17, 28 December 2023 (UTC)
Factoring technique
Comment: This content is already covered at Factorization#Recognizable patterns. So, one can use this title for a redirect to this section. Otherwise, creating an article with this title would be a WP:REDUNDANTFORK.
Comment: A redirect has already been created. Unless someone objects in the next few days I will delete— Preceding unsigned comment added by Ldm1954 (talk • contribs)
In mathematics, sums and differences of powers are expressions of the form and , respectively, where is a positive integer. They can be factored by a method that is a generalization of the factorization of the difference of squares and the sum of cubes.
The sum of powers factorization can be derived from the difference of powers factorization.[4][5]
Let and substitute this expression into the previous equation.
An negative number raised to an odd exponent will result in a negative number. Similarly, if a negative number is raised to an even exponent, it will result in a positive number. Using such reasoning, one can deduct that .