We are given two polynomials: $A = 2x^3 + 3x^2 - 8x + 1$ and $B = x^2 + 3x - 2$. The problem asks us to simplify the given expressions. Although not specified, I assume that the user wants me to subtract B from A, i.e., to compute $A - B$.

1. Problem Description

We are given two polynomials: $A = 2x^3 + 3x^2 - 8x + 1$ and $B = x^2 + 3x - 2$. The problem asks us to simplify the given expressions. Although not specified, I assume that the user wants me to subtract B from A, i.e., to compute $A - B$.

2. Solution Steps

We want to find $A - B$, so we subtract the polynomial $B$ from the polynomial $A$:

$A - B = (2x^3 + 3x^2 - 8x + 1) - (x^2 + 3x - 2)$

Distribute the negative sign:

$A - B = 2x^3 + 3x^2 - 8x + 1 - x^2 - 3x + 2$

Combine like terms:

$A - B = 2x^3 + (3x^2 - x^2) + (-8x - 3x) + (1 + 2)$

$A - B = 2x^3 + 2x^2 - 11x + 3$

3. Final Answer

$A - B = 2x^3 + 2x^2 - 11x + 3$