The factors of $x^{2} - 4$ are

$(x - 2), (x - 2)$

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$(x + 2), (x - 2)$

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$(x + 2), (x + 2)$

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$(x - 4), (x - 4)$

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Solution

The correct option is B
$(x + 2), (x - 2)$

The factors of $x^{2} - 4$ are,
$x^{2} - 4 = x^{2} - 2^{2}$
By using identity, $a^{2} - b^{2} = (a - b) (a + b)$
$x^{2} - 4 = (x + 2) (x - 2)$
Hence, the factor of $x^{2} - 4$ are $(x + 2), (x - 2)$
So, the correct option is B.

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