7. $$ (2 a-3)^{2}-(3 a+4)(3 a-4)+2(3 a+1)^{2} $$

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Calculate or simplify the expression $$ (2a-3)^2-(3a+4)(3a-4)+2(3a+1)^2 $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\left(2a-3\right)^{2}-\left(3a+4\right)\left(3a-4\right)+2\left(3a+1\right)^{2}$$
- step1: Multiply the terms:
  $$\left(2a-3\right)^{2}+\left(-3a-4\right)\left(3a-4\right)+2\left(3a+1\right)^{2}$$
- step2: Expand the expression:
  $$4a^{2}-12a+9+\left(-3a-4\right)\left(3a-4\right)+2\left(3a+1\right)^{2}$$
- step3: Expand the expression:
  $$4a^{2}-12a+9+16-9a^{2}+2\left(3a+1\right)^{2}$$
- step4: Expand the expression:
  $$4a^{2}-12a+9+16-9a^{2}+18a^{2}+12a+2$$
- step5: Calculate:
  $$13a^{2}+27$$
The simplified expression is $$13a^{2}+27$$.
The simplified expression is $$13a^{2}+27$$.

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