a = (2✓3 - 3)² + (✓3 - 6)(6 + ✓3) + (3 + ✓3)²
a= (2✓3 - 3)² + (✓3 - 6)(✓3 + 6) + (3 + ✓3)²
( a - b )² // (a - b)(a + b) // ( a + b )²
a = 2²✓3² -2•2✓3•3 + 3² + ✓3²-6² +3²+2•3•✓3 + ✓3²
a = 4•3 - 12✓3 + 9 + 3 - 36 + 9 + 6✓3 + 3
a = -6✓3 + 12 + 9 + 3 - 36 + 9 + 3
a= - 6✓3 + 36 - 36
a= - 6✓3 aparține R \ Q
d) R \ Q
FORMULELE FOLOSITE:
[tex] \blue{ \boxed{(a + b) = {a}^{2} + 2ab + {b}^{2} } }\\ \\ \blue{\boxed{ (a - b) { }^{2} = {a}^{2} - 2ab + {b}^{2}} } \\ \\ \blue{ \boxed{(a - b)(a + b) = {a}^{2} - {b}^{2} }}[/tex]
