As we know,
[tex] \boxed{ \boxed{(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab}}[/tex]
now, let's plug the given values to find a² + b²
- [tex](8) {}^{2} = {a}^{2} + {b}^{2} + (2 \times 10)[/tex]
- [tex]64 = {a}^{2} + {b}^{2} + 20[/tex]
- [tex] {a}^{2} + {b}^{2} = 64 - 20[/tex]
- [tex]a {}^{2} + b {}^{2} = 44[/tex]
