Perform polynomial multiplication and simplify the results, show that ( x - 1 ) ( x + 1 ) ( x 2 + x + 1 ) ( x 2 + 1 ) ( x 2 - x + 1 ) ( x 4 - x 2 + 1 ) simplifies to x 1 2 - 1. If pen&paper together with does not serve you, there is no way around to buy the toolbox or use alternatives like Wolframs Mathematica, Maple, Maxima, Sympy, Sage etc. Most mathematical expressions can be represented in different, but mathematically equivalent forms and the Symbolic Math Toolbox supports a number of operations, including factoring or expanding expressions, combining terms, rewriting or rearranging expressions, and simplification based on assumptions. If you want to differentiate a symbolic expressing then the Symbolic Math Toolbox is the only way to go within Matlab. The Symbolic Math Toolbox supports the Formula Manipulation and Simplification of mathematical functions.
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