To subtract \( (a^2 - 8ab + 2b^2) \) from \( (5a^2 - 9ab + 2b^2) \), we set up the expression as follows:
\[ (5a^2 - 9ab + 2b^2) - (a^2 - 8ab + 2b^2) \]
Now we distribute the negative sign across the second expression:
\[ (5a^2 - 9ab + 2b^2) - a^2 + 8ab - 2b^2 \]
Now we can combine like terms:
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For \( a^2 \): \[ 5a^2 - a^2 = 4a^2 \]
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For \( ab \): \[ -9ab + 8ab = -ab \]
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For \( b^2 \): \[ 2b^2 - 2b^2 = 0 \]
Putting it all together, we get:
\[ 4a^2 - ab + 0 = 4a^2 - ab \]
Thus, the result of the subtraction is:
\[ \boxed{4a^2 - ab} \]
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