To find the value that should be subtracted from the expression x³ + 2x² - 3x + 2 in order to obtain the expression -11x³ + 6x² - 6x - 9, we need to equate the two expressions and simplify.

Let's break down the problem into steps:

**Step 1: Set up the equation**
We start by equating the two expressions:
x³ + 2x² - 3x + 2 - y = -11x³ + 6x² - 6x - 9

**Step 2: Group like terms**
Now, let's group the terms with the same power of x on both sides of the equation:
(x³ - (-11x³)) + (2x² - 6x²) + (-3x - (-6x)) + (2 - (-9)) - y = 0

Simplifying further, we have:
12x³ - 4x² + 3x + 11 - y = 0

**Step 3: Set up the final equation**
Now, let's set up the equation by equating the coefficients of the like terms on both sides of the equation:
12x³ - 4x² + 3x + 11 - y = -11x³ + 6x² - 6x - 9

Comparing the coefficients of the like terms, we have:
12x³ = -11x³
-4x² = 6x²
3x = -6x
11 - y = -9

**Step 4: Solve the equations**
Let's solve each equation one by one:

1. For the equation 12x³ = -11x³:
12x³ + 11x³ = 0
23x³ = 0
x³ = 0

So, x = 0.

2. For the equation -4x² = 6x²:
-4x² - 6x² = 0
-10x² = 0
x² = 0

So, x = 0.

3. For the equation 3x = -6x:
3x + 6x = 0
9x = 0
x = 0

4. For the equation 11 - y = -9:
11 + 9 = y
y = 20

**Step 5: Substitute the values**
Now, let's substitute the value of x and y back into the original equation:
x³ + 2x² - 3x + 2 - y = -11x³ + 6x² - 6x - 9
0³ + 2(0)² - 3(0) + 2 - 20 = -11(0)³ + 6(0)² - 6(0) - 9
2 - 20 = - 9

-18 = -9

Therefore, the expression - 18 should be subtracted from x³ + 2x² - 3x + 2 to obtain -11x³ + 6x² - 6x - 9.

What should be subtracted from x3+2x2-3x+2 to get -11x3+6x2-6x+9