Simplify (3x² - 3 + 9x³) - (4x³ - 2x² + 16).

Solution:

Given expression is

(3x² - 3 + 9x³) - (4x³ - 2x² + 16)

This is the subtraction of 2 polynomials

We operate like terms together

= (9x³ - 4x³ ) (3x² - (-2x²)) +(-3 - 16)

= 5x³ + x² + 13

The simplified expression of (3x2 - 3 + 9x³) - (4x³ - 2x2 + 16) is 5x³ + x² + 13.

Simplify (3x² - 3 + 9x³) - (4x³ - 2x² + 16).

Summary:

The simplified expression of (3x² - 3 + 9x³) - (4x³ - 2x² + 16) is 5x³ + x² + 13.