Exercise
$\left(a^{x+1}-2b^{x-1}\right)\left(a^{x-1}-2b^{x+1}\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Expand the expression (a^(x+1)-2b^(x-1))(a^(x-1)-2b^(x+1)). Multiply the single term a^{\left(x-1\right)}-2b^{\left(x+1\right)} by each term of the polynomial \left(a^{\left(x+1\right)}-2b^{\left(x-1\right)}\right). Multiply the single term a^{\left(x+1\right)} by each term of the polynomial \left(a^{\left(x-1\right)}-2b^{\left(x+1\right)}\right). When multiplying exponents with same base we can add the exponents. Multiply the single term -2b^{\left(x-1\right)} by each term of the polynomial \left(a^{\left(x-1\right)}-2b^{\left(x+1\right)}\right).
Expand the expression (a^(x+1)-2b^(x-1))(a^(x-1)-2b^(x+1))
Final answer to the exercise
$a^{2x}-2b^{\left(x+1\right)}a^{\left(x+1\right)}-2a^{\left(x-1\right)}b^{\left(x-1\right)}+4b^{2x}$