Question

Сократите дробь a-16a^1/2 / 5a^1/4+20

Answer 1

$\frac{a-16a^{\frac{1}{2}}}{5a^{\frac{1}{4}}+20}=\frac{a^{\frac{1}{2}}(a^{\frac{1}{2}}-16)}{5a^{\frac{1}{4}}+20}=\frac{a^{\frac{1}{2}}(a^{\frac{1}{4}}-4)(a^{\frac{1}{4}}+4)}{5(a^{\frac{1}{4}}+4)}=\frac{a^{\frac{1}{2}}(a^{\frac{1}{4}}-4)}{5}$