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\left(\left(-3a\right)^{2}-3a\left(3a+2\right)\right)^{2}
Combine a and -4a to get -3a.
\left(\left(-3\right)^{2}a^{2}-3a\left(3a+2\right)\right)^{2}
Expand \left(-3a\right)^{2}.
\left(9a^{2}-3a\left(3a+2\right)\right)^{2}
Calculate -3 to the power of 2 and get 9.
\left(9a^{2}-9a^{2}-6a\right)^{2}
Use the distributive property to multiply -3a by 3a+2.
\left(-6a\right)^{2}
Combine 9a^{2} and -9a^{2} to get 0.
\left(-6\right)^{2}a^{2}
Expand \left(-6a\right)^{2}.
36a^{2}
Calculate -6 to the power of 2 and get 36.
\left(\left(-3a\right)^{2}-3a\left(3a+2\right)\right)^{2}
Combine a and -4a to get -3a.
\left(\left(-3\right)^{2}a^{2}-3a\left(3a+2\right)\right)^{2}
Expand \left(-3a\right)^{2}.
\left(9a^{2}-3a\left(3a+2\right)\right)^{2}
Calculate -3 to the power of 2 and get 9.
\left(9a^{2}-9a^{2}-6a\right)^{2}
Use the distributive property to multiply -3a by 3a+2.
\left(-6a\right)^{2}
Combine 9a^{2} and -9a^{2} to get 0.
\left(-6\right)^{2}a^{2}
Expand \left(-6a\right)^{2}.
36a^{2}
Calculate -6 to the power of 2 and get 36.