  # How to solve sum of cubes

When solving algebraic equations of various sorts, this factorization formula comes in helpful. This formula is also simple to remember and may be done in a couple of

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## Sums and Differences of Cubes, & Perfect Squares

The formula to find the sum of cubes of n natural numbers is S = [n 2 (n + 1) 2 ]/4, where n is the count of natural numbers that we take. For example, if you want to find the sum of cubes of 7

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## Sum and Difference of Cubes

2^ [3^3 + 5^3] = [2^19]^ [2^3]. Numbers are related and have to be factored if possible to get the cube of a sum of cubes. Otherwise, to solve a sum of cubes, cube each result and add  ## Factoring the Sum of Cubes

You just have to change two little signs to make it work. The sum of two cubes equals the sum of its roots times the squares of its roots minus the product of the roots, which

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