Simplify the expression $\frac{\left(x^4-x^2+1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^4-1\right)^2}{\left(x^{12}-1\right)\left(x^2+1\right)}$
Unlock unlimited step-by-step solutions and much more!
Create a free account and unlock a glimpse of this solution.
Learn how to solve simplification of algebraic expressions 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
The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.