Final answer:
To solve (-x² + 3x) - (5x + 2x²), distribute the negative sign and combine like terms to get the final expression -3x² - 2x.
Step-by-step explanation:
To solve the equation (-x² + 3x) - (5x + 2x²), you need to combine like terms.
First, distribute the negative sign inside the second parenthesis:
-x² + 3x - 5x - 2x²
Now combine the like terms:
(-x² - 2x²) + (3x - 5x)
This simplifies to:
-3x² - 2x
There is no further simplification possible, so this is the final expression.
First, distribute the negative sign across the expression inside the parentheses:
-x² + 3x - 5x - 2x²
Next, combine like terms:
-x² - 2x² + 3x - 5x = -3x² - 2x
So, the simplified expression is -3x² - 2x.