Let's evaluate the expression step-by-step:
Given: \[ (4 \times 5)^2 - 6 + 3 \]
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Calculate \(4 \times 5\): \[ 4 \times 5 = 20 \]
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Now substitute back into the expression: \[ (20)^2 - 6 + 3 \]
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Calculate \((20)^2\): \[ 20^2 = 400 \]
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Substitute this back into the expression: \[ 400 - 6 + 3 \]
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Next, calculate \(400 - 6\): \[ 400 - 6 = 394 \]
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Finally, add \(3\): \[ 394 + 3 = 397 \]
Thus, the evaluated result of the expression is: \[ \boxed{397} \]