Question

ПОМОГИТЕ ПОЖАЛУЙСТА даю 30 баллов
:(((

Answer 1

Ответ:

$\displaystyle \frac{a-b}{a^{0,5}-b^{0,5}}-\frac{a^{1,5}-b^{1,5}}{a-b}=\\\\\\=\frac{(a^{0,5}-b^{0,5})(a^{0,5}+b^{0,5})}{a^{0,5}-b^{0,5}}-\frac{(a^{0,5}-b^{0,5})(a+a^{0,5}\cdot b^{0,5}+b)}{(a^{0,5}-b^{0,5})(a^{0,5}+b^{0,5})}=\\\\\\=a^{0,5}+b^{0,5}-\frac{a+a^{0,5}\cdot b^{0,5}+b}{a^{0,5}+b^{0,5}}=\frac{(a^{0,5}+b^{0,5})^2-a-a^{0,5}\cdot b^{0,5}-b}{a^{0,5}+b^{0,5}}=\\\\\\=\frac{a+2\, a^{0,5}\cdot b^{0,5}+b-a-a^{0,5}\cdot b^{0,5}-b}{a^{0,5}+b^{0,5}}=\frac{a^{0,5}\cdot b^{0,5}}{a^{0,5}+b^{0,5}}$