Impara online a risolvere i problemi di prodotti speciali passo dopo passo. (a-1)(a+1)(a^2+1)(a^4+1)+1. Applicare la formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, dove b=1, c=-1, a+c=a+1 e a+b=a-1. Applicare la formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, dove a=a^2, b=1, c=-1, a+c=a^2+1 e a+b=a^2-1. Simplify \left(a^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2. Applicare la formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, dove a=a^{4}, b=1, c=-1, a+c=a^4+1 e a+b=a^{4}-1.

(a-1)(a+1)(a^2+1)(a^4+1)+1