Question

simplify
a+2/a²+a - 3/a²-a-2

Answer 1

$a+ \frac{ 2 }{ a ^ { 2 } } +a- \frac{ 3 }{ a ^ { 2 } } -a-2 \\ = 2a+\frac{2}{a^{2}}-\frac{3}{a^{2}}-a-2 \\ = a+\frac{2}{a^{2}}-\frac{3}{a^{2}}-2 \\ = \frac{\left(a-2\right)a^{2}}{a^{2}}+\frac{2}{a^{2}}-\frac{3}{a^{2}} \\ = \frac{\left(a-2\right)a^{2}+2}{a^{2}}-\frac{3}{a^{2}} \\ = \frac{a^{3}-2a^{2}+2}{a^{2}}-\frac{3}{a^{2}} \\ = \frac{a^{3}-2a^{2}+2-3}{a^{2}} \\ = \frac{-1-2a^{2}+a^{3}}{a^{2}}$