Let's simplify the expression step by step:
Start with the expression:
\(5 \cdot 2 - 4 \cdot (-3)^2 - 5 \cdot (-3) \cdot 2^2\)Calculate \( (-3)^2 \):
\((-3)^2 = 9\)Substitute this back into the expression:
\(5 \cdot 2 - 4 \cdot 9 - 5 \cdot (-3) \cdot 2^2\)Now calculate \(5 \cdot 2\):
\(5 \cdot 2 = 10\)Update the expression:
\(10 - 4 \cdot 9 - 5 \cdot (-3) \cdot 2^2\)Next, calculate \(4 \cdot 9\):
\(4 \cdot 9 = 36\)Update the expression:
\(10 - 36 - 5 \cdot (-3) \cdot 2^2\)Now calculate \(2^2\):
\(2^2 = 4\)Substitute this value refactoring the expression:
\(10 - 36 - 5 \cdot (-3) \cdot 4\)Now calculate \(5 \cdot (-3) \cdot 4\):
\(5 \cdot (-3) = -15\)
Then, \(-15 \cdot 4 = -60\)Now update the expression:
\(10 - 36 + 60\)Combine these:
\(10 - 36 = -26\)
Now, \(-26 + 60 = 34\)
Therefore, the final result is:
\(\boxed{34}\)