Question

Помогите пж решить номер 5, даю 40 баллов (27+14)

Answer 1

$a^2+2ab+2b^2+2b+1=(a^2+2ab+b^2)+(b^2+2b+1)= \\ (a+b)^2+(b+1)^2 \geq 0 \\ (a+b)^2 \geq 0;(b+1)^2 \geq 0$

$x^2-4xy+y^2+x^2y^2+1=(x^2-2xy+y^2)+(x^2y^2-2xy+1)= \\ (x-y)^2+(xy-1)^2 \geq 0 \\ (x-y)^2 \geq 0;(xy-1)^2 \geq 0$

$x^2+y^2+2x+6y+10=(x^2+2x+1)+(y^2+6y+9)= \\ (x+1)^2+(y+3)^2 \geq 0 \\ (x+1)^2;(y+3)^2 \geq 0$