Learn how to solve special products problems step by step online. Simplify the product of conjugate binomials (a^(x+1)-*2^(x-1))(a^(x+1)+2^(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(2^{\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).

Simplify the product of conjugate binomials (a^(x+1)-*2^(x-1))(a^(x+1)+2^(x-1))