Question

a⁵+a³-a²-1

Answer 1

\(=\left(a^5-a^2\right)+\left(a^3-1\right)\\ =a^2\left(a^3-1\right)+\left(a^3-1\right)\\ =\left(a^2+1\right)\left(a^3-1\right)\\ =\left(a^2+1\right)\left(a-1\right)\left(a^2+a+1\right)\)

Answer 2

\(=a^3\left(a^2+1\right)-\left(a^2+1\right)=\left(a^3-1\right)\left(a^2+1\right)\)