Question

Помогите, пожалуйста, упростить выражение

Answer 1

$\frac{a^{3/2}-b^{3/2}}{a^{1/2}+b^{1/2}} *\frac{a-b}{a+a^{1/2}b^{1/2}+b} +2a^{1/2}b^{1/2}=\\ \\ \frac{(a^{1/2}-b^{1/2})(a+a^{1/2}b^{1/2}+b)(a^{1/2}-b^{1/2})(a^{1/2}+b^{1/2})}{(a^{1/2}+b^{1/2})(a+a^{1/2}b^{1/2}+b)} +2a^{1/2}b^{1/2}=\\ \\(a^{1/2}-b^{1/2})^2+2a^{1/2}b^{1/2}=\\ \\a-2a^{1/2}b^{1/2}+b+2a^{1/2}b^{1/2}=a+b$