Question

Simplify the expression (x - 2)(-2x² - 4x + 6). Explain your answer.

Answer 1

To simplify the expression (x - 2)(-2x² - 4x + 6), multiply each term in the first expression by each term in the second expression and combine like terms. The simplified expression is -2x³ - 2x - 12.

Step-by-step explanation:

To simplify the expression (x - 2)(-2x² - 4x + 6), we can use the distributive property. Multiply each term in the first expression, x - 2, by each term in the second expression, -2x² - 4x + 6, and then combine like terms.

Let's multiply:

• x * -2x² = -2x³
• x * -4x = -4x²
• x * 6 = 6x
• -2 * -2x² = 4x²
• -2 * -4x = 8x
• -2 * 6 = -12

Now let's combine like terms:

• -2x³ + 4x² + 6x - 4x² - 8x - 12
• -2x³ + (4x² - 4x²) + (6x - 8x) -12
• -2x³ - 2x - 12

So, the simplified expression is -2x³ - 2x - 12.