$$ 1 \leftarrow $$ Perform the indicated operation. $$ \begin{array}{l}\left(3 x^{3}-7 x^{2}+5 x-4\right)-\left(8 x^{3}-2 x^{2}-4 x+9\right) \ \text { Write the polynomial in standard form. } \ \qquad\left(3 x^{3}-7 x^{2}+5 x-4\right)-\left(8 x^{3}-2 x^{2}-4 x+9\right)=\square\end{array} $$

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Calculate or simplify the expression $$ (3x^3-7x^2+5x-4)-(8x^3-2x^2-4x+9) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\left(3x^{3}-7x^{2}+5x-4\right)-\left(8x^{3}-2x^{2}-4x+9\right)$$
- step1: Remove the parentheses:
  $$3x^{3}-7x^{2}+5x-4-\left(8x^{3}-2x^{2}-4x+9\right)$$
- step2: Remove the parentheses:
  $$3x^{3}-7x^{2}+5x-4-8x^{3}+2x^{2}+4x-9$$
- step3: Subtract the terms:
  $$-5x^{3}-5x^{2}+9x-13$$
The result of the indicated operation is $$-5x^{3}-5x^{2}+9x-13$$.
$$-5x^{3}-5x^{2}+9x-13$$

Perform the indicated operation.

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