Simplify $(\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2$

$2\sqrt{6}$

$4\sqrt{6}$

$8\sqrt{6}$

$16\sqrt{6}$

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Correct answer is C

$(\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2$

= $[(\sqrt{6} + 2) + (\sqrt{6} - 2)][(\sqrt{6} + 2) - (\sqrt{6} - 2)]$

= $(\sqrt{6} + 2 + \sqrt{6} - 2)(\sqrt{6} + 2 - \sqrt{6} + 2)]$

= $(2\sqrt{6})(4)$

= $8\sqrt{6}$

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Simplify (√6+2)2−(√6−2)2(\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2

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Simplify $(\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2$