Question

Resuelve las siguientes problemas:

Answer 1

Hola!

Explicación paso a paso:

■ Solución 01:

$(x - 3)(x + 3) - (x + 4)(x - 4) \\ ( {x}^{2} - {3}^{2} ) - ( {x}^{2} - {4}^{2} ) \\ {x}^{2} - 9 - {x}^{2} + 16 \\ 5$

■ Solución 02:

${(x + 5)}^{2} + {(x - 5)}^{2} + 3 {x}^{2} \\ ( {x}^{2} + 2(5)(x) + {5}^{2} ) + ( {x}^{2} - 2(5)(x) + {5}^{2} ) + 3 {x}^{2} \\ {x}^{2} + 10x + 25 + {x}^{2} - 10x + 25 + 3 {x}^{2} \\ 2 {x}^{2} + 3 {x}^{2} + 50 \\ 5 {x}^{2} + 50 \\ 5( {x}^{2} + 10)$

■ Solución 03:

$a + b = 5 \\ ab = 4 \\ \\ {(a + b)}^{2} = {5}^{2} \\ {a}^{2} + 2(a)(b) + {b}^{2} = 25 \\ {a}^{2} + {b}^{2} + 2(ab) = 25 \\ {a}^{2} + {b}^{2} + 2(4) = 25 \\ {a}^{2} + {b}^{2} = 25 - 8 \\ {a}^{2} + {b}^{2} = 17$