17. $$ \left(2 x^{2}+3 y^{2}-z^{2}\right)-\left(x^{2}-y^{2}-z^{2}\right)+\left(4 x^{2}-3 y^{2}\right) $$

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Calculate or simplify the expression $$ (2x^2+3y^2-z^2)-(x^2-y^2-z^2)+(4x^2-3y^2) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\left(2x^{2}+3y^{2}-z^{2}\right)-\left(x^{2}-y^{2}-z^{2}\right)+\left(4x^{2}-3y^{2}\right)$$
- step1: Remove the parentheses:
  $$2x^{2}+3y^{2}-z^{2}-\left(x^{2}-y^{2}-z^{2}\right)+4x^{2}-3y^{2}$$
- step2: Remove the parentheses:
  $$2x^{2}+3y^{2}-z^{2}-x^{2}+y^{2}+z^{2}+4x^{2}-3y^{2}$$
- step3: Calculate:
  $$5x^{2}+y^{2}$$
The simplified expression is $$5x^{2}+y^{2}$$.
The simplified expression is $$5x^{2}+y^{2}$$.

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