Solve the product $\left(a^{\left(x+1\right)}- 26^{\left(x-1\right)}\right)\left(26^{\left(x-1\right)}+a^{\left(x+1\right)}\right)$

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Learn how to solve factor by difference of squares problems step by step online. Solve the product (a^(x+1)-*26^(x-1))(26^(x-1)+a^(x+1)). 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(a^{\left(x+1\right)}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals x+1 and n equals 2. Simplify \left(26^{\left(x-1\right)}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals x-1 and n equals 2. Multiply the single term 2 by each term of the polynomial \left(x+1\right).