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# Simplify (6x^{2} - 3 - 5x^{3}) - (4x^{3} + 2x^{2} - 8).

**Solution:**

Given expression (6x^{2} - 3 - 5x^{3}) - (4x^{3} + 2x^{2} - 8)

A polynomial is defined as an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s)

In order to perform the difference, we need to club together with the terms with the same exponents of the variable.

So re-write (6x^{2} - 3 - 5x^{3}) - (4x^{3} + 2x^{2} - 8) as follows

(6x^{2} - 3 - 5x^{3} - 4x^{3} - 2x^{2} + 8)

(-5x^{3} - 4x^{3}) + (6x^{2} - 2x^{2}) + (8 - 3)

Here, the terms of degree 3 are put together, of degree 2 are put together and constants are put together for easy operation

Now, take the common term from them and perform the difference

x^{3}(-5 - 4) + x^{2}(6 - 2) + (8 - 3)

-9x^{3} + 4x^{2} + 5

The difference is given by-9x^{3} + 4x^{2} + 5

## Simplify (6x^{2} - 3 - 5x^{3}) - (4x^{3} + 2x^{2} - 8).

**Summary:**

The simplified form of (6x^{2} - 3 - 5x^{3}) - (4x^{3} + 2x^{2} - 8) is -9x^{3} + 4x^{2} + 5.

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