Question

8. Obtenha a fatoração completa do binômio (1-t⁸).​

Answer 1

$\Large\boxed{\begin{array}{l}\sf 1-t^8=(1-t^4)(1+t^4)\\\sf 1-t^8=(1-t^2)(1+t^2)(1+t^4)\\\sf 1-t^8=(1-t)(1+t)(1+t^2)(1+t^4)\end{array}}$