Final answer to the problem
$a^{\left(x+1\right)}\left(2b^{\left(x-1\right)}+a^{\left(x+1\right)}\right)-2b^{\left(x-1\right)}\left(2b^{\left(x-1\right)}+a^{\left(x+1\right)}\right)$
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Step-by-step Solution
Specify the solving method
1
Multiply the single term $2b^{\left(x-1\right)}+a^{\left(x+1\right)}$ by each term of the polynomial $\left(a^{\left(x+1\right)}-2b^{\left(x-1\right)}\right)$
$a^{\left(x+1\right)}\left(2b^{\left(x-1\right)}+a^{\left(x+1\right)}\right)-2b^{\left(x-1\right)}\left(2b^{\left(x-1\right)}+a^{\left(x+1\right)}\right)$
Final answer to the problem
$a^{\left(x+1\right)}\left(2b^{\left(x-1\right)}+a^{\left(x+1\right)}\right)-2b^{\left(x-1\right)}\left(2b^{\left(x-1\right)}+a^{\left(x+1\right)}\right)$