Simplify the expression $\frac{\left(x^4-x^2+1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^4-1\right)^2}{\left(x^{12}-1\right)\left(x^2+1\right)}$
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Learn how to solve polynomial long division problems step by step online. Simplify the expression ((x^4-x^2+1)(x^2+x+1)(x^2-x+1)(x^4-1)^2)/((x^12-1)(x^2+1)). Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). Divide 1 by 3. Divide 1 by 3. Divide 2 by 3.
Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more
In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.