Answer:
A-3, B-4, C-1, D-2
Step-by-step explanation:
A:
- 5x-(3x+1)
- Expand, 5x-3x-1
- Combine like terms, 2x-1
B:
- 5x-(-3x-1)
- Expand, 5x+3x+1
- Combine like terms, 8x+1
C:
- -5x-(3x+1)
- Expand, -5x-3x-1
- Combine like terms, -8x-1
D:
- -5x-(-3x-1)
- Expand, -5x+3x+1
- Combine like terms, -2x+1
When you square a negative number, the result is positive.
(-4)^2 = (-4)ª(-4) = 16
When you cube a negative number, the result is negative.
(-4)^3 = (-4)•(-4)•(-4) = -64
Negatives pair up and cancel out, so odd exponents always have one negative unpaired, making the result negative.