Question

Помогите решить 1236

Answer 1

$1)\; \; (a^{\frac{1}{2}}+b^{\frac{1}{2}})^2-(a^{\frac{1}{2}}-b^{\frac{1}{2}})^2=a+2a^{\frac{1}{2}}\,b^{ \frac{1}{2}}+b-(a-2a^{\frac{1}{2}}\, b^{\frac{1}{2}}+b)=\\\\=4a^{\frac{1}{2}}\, b^{ \frac{1}{2}}$

$2)\; \; (a^{\frac{3}{2}}+5a^{\frac{1}{2}})^2-10a^2=a^3+10a^2+25a-10a^2=a^3+25a=a(a^2+25)$