
Answer:
Step-by-step explanation:
In this question we will solve the polynomials by adding or subtracting the similar terms.
1). (-3x² - 8x + 2) + (-5x² - 9x - 2)
= (-3x²- 5x²) - (8x + 9x) + (2 - 2)
= (-8x²) - 17x + 0
= -8x² - 17x
2). (-2x² + 7x - 1) - (8x² - 6x + 5)
= (-2x² - 8x²) + (7x + 6x) - (1 + 5)
= -10x² + 13x - 6
3). (5x²- 5xy - 10y²) + (5x²+ 5xy + 10y²)
= (5x² + 5x²) + (-5xy + 5xy) + (-10y² + 10y²)
= 10x²
4). (2 + 8x + 4x²) - (9 + 6x + 2x²)
= (2 - 9) + (8x - 6x) + (4x² - 2x²)
= -7 + 2x + 2x²
5). (4x³ + 5x²+ 3x) - (3x³ + 6x²- 1)
= (4x³ - 3x³) + (5x² - 6x²) + 3x + 1
= x³- x² + 3x + 1