Answer:

Distributive Property

1. 3(x+2x²-1) + x(2x²-3x+1)

• 3 (x) + 3 (2x²) + 3 (-1) + x (2x²) + x (-3x) + x (1)
• 3x + 6x² - 3 + 2x³ - 3x² + x
• 2x³ + 3x² + 4x - 3

2. x - 2 (3x + 1) + (x + 2)

• x (3x + 1) - 2 (3x + 1) + (x + 2)
• x (3x) + x (1) - 2 (3x) - 2 (1) + (x + 2)
• 3x² + x - 6x - 2 + (x + 2)
• 3x² - 5x - 2 + x + 2
• 3x² - 4x ✓