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1. $(a - 5) (a + x) = a^{2} - 25$

Answer: Option A

Explanation:

(a - 5) (a + x) = a^{2} - 25 = > (a - 5) (a + x) = a^{2} - 5^{2} [a^{2} - b^{2} = (a + b) (a - b)] = > (a - 5) (a + x) = (a + 5) (a - 5) = > (a + x) = \frac{(a + 5) (a - 5)}{(a - 5)} = > (a + x) = (a + 5) = > a + x - a = 5 = > x = 5

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