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Answer :
Final answer:
To factor the binomial completely, use the difference of squares formula to get (2 - (1/5)m)(2 + (1/5)m).
Explanation:
To factor the binomial 4 - (1/25)m² completely, we can use the difference of squares formula.
The formula states that a² - b² = (a - b)(a + b). In this case, a = 2 and b = (1/5)m.
So, applying the formula, we get (2 - (1/5)m)(2 + (1/5)m).
Therefore, the correct option is a. (4 - 1/5m)(4 + 1/5m).
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