Question

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Answer 1

Respuesta:

D) 2/3 ✓

...

$\frac{(a + b {)}^{2} + (a - b {)}^{2} }{3 {a}^{2} + 3 {b}^{2} } = \\ \\ \frac{ {a}^{2} + 2ab + {b}^{2} + {a}^{2} - 2ab + {b}^{2} }{3 {a}^{2} + 3 {b}^{2} } \\ \\ \frac{( {a}^{2} + {a}^{2} ) + (2ab - 2ab) + ( {b}^{2} + {b}^{2} }{3 {a}^{2} + 3 {b}^{2} } \\ \\ \frac{2( {a}^{2} + 2 {b}^{2}) }{3 {a}^{2} + 3 {b}^{2} } \\ \\ \frac{2( {a}^{2} + {b}^{2}) }{3( {a}^{2} + {b}^{2} )} \\ \\ = \bf \frac{2}{3}$