Question

Va rog , ma ajuta cineva cu subpunctul b) am nevoie urgent

Answer 1

Explicație pas cu pas:

b)

$x * y = {x}^{2} + {y}^{2} + x + y \\ = {x}^{2} + x + \frac{1}{4} + {y}^{2} + y + \frac{1}{4} - \frac{1}{2} \\ = \left(x + \frac{1}{2} \right)^{2} + \left(y + \frac{1}{2} \right)^{2} - \frac{1}{2}$

sau:

$\left(x + \frac{1}{2} \right)^{2} + \left(y + \frac{1}{2} \right)^{2} - \frac{1}{2} = {x}^{2} + x + \frac{1}{4} + {y}^{2} + y + \frac{1}{4} - \frac{1}{2} \\ = {x}^{2} + {y}^{2} + x + y = x * y$