Expand the expression $\left(1-x^n\right)^2+2\left(1-x^n\right)\left(1+x^n\right)+x^n-2$

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Learn how to solve factor by difference of squares problems step by step online. Expand the expression (1-x^n)^2+2(1-x^n)(1+x^n)x^n+-2. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. Simplify \left(x^n\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals n and n equals 2. Multiply the single term 2 by each term of the polynomial \left(1-x^{2n}\right). Add the values 2 and -2.