Question

1. $(8x^{3}+x^{2}-5x + 2)-(2x^{3}+x^{2}-8x - 1)$

Explanation:

Step1: Distribute the negative sign

$(8x^3 + x^2 - 5x + 2) - 2x^3 - x^2 + 8x + 1$

Step2: Group like terms

$(8x^3 - 2x^3) + (x^2 - x^2) + (-5x + 8x) + (2 + 1)$

Step3: Combine like terms

$6x^3 + 0x^2 + 3x + 3$

Answer:

$6x^3 + 3x + 3$