To expand the expression \((5m - 2)^2\), you can apply the formula for the square of a binomial, which states:
\[ (a - b)^2 = a^2 - 2ab + b^2 \]
In this case, \(a = 5m\) and \(b = 2\).
Now, let's calculate it step by step:
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Calculate \(a^2\): \[ (5m)^2 = 25m^2 \]
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Calculate \(-2ab\): \[ -2(5m)(2) = -20m \]
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Calculate \(b^2\): \[ 2^2 = 4 \]
Putting it all together: \[ (5m - 2)^2 = 25m^2 - 20m + 4 \]
So, the final expanded form of \((5m - 2)^2\) is:
\[ 25m^2 - 20m + 4 \]