Question

resuelto porfas
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Answer 1

Explicación paso a paso:

3. Calcular:

$E=(\sqrt{18} +\sqrt{8} )^{2} - (\sqrt{18} -\sqrt{8} )^{2}$

Resolvamos usando la Identidad de Legendre:

$E=(\sqrt{18} +\sqrt{8} )^{2} - (\sqrt{18} -\sqrt{8} )^{2} \\\\E=4(\sqrt{18})(\sqrt{8})\\\\E=4(\sqrt{18\times8} )\\\\E=4(\sqrt{144} )\\\\E=4(12)\\\\E =48$

Por lo tanto, el valor de E es 48

4. Indicar verdadero(V) o falso (F). Según corresponde en:

I. $(a-b)^{2} =(b-a)^{2}$ ⇨ (V)

II.$(a^{2} +b^{2} )(a^{2} -b^{2} )=a^{4} -b^{4}$ ⇨ (V)

III. $(x+1)^{2} =x^{2} +1$ ⇨ (F)

IV.$(a+\sqrt{b} )(a-\sqrt{b} )=a^{2} -b$ ⇨ (V)