Question

Perform the operation: (2x – 1)(x² + x + 1)

Answer 1

To perform the operation (2x – 1)(x² + x + 1), multiply each term in the first expression by each term in the second expression and combine like terms.

Step-by-step explanation:

To perform the operation (2x – 1)(x² + x + 1), we need to multiply each term in the first expression by each term in the second expression.

Step 1: Multiply 2x by each term in the second expression: 2x * x² = 2x³, 2x * x = 2x², and 2x * 1 = 2x.

Step 2: Multiply -1 by each term in the second expression: -1 * x² = -x², -1 * x = -x, and -1 * 1 = -1.

Step 3: Combine like terms: 2x³ + 2x² + 2x - x² - x - 1.

Step 4: Simplify the expression: 2x³ + x² + x - 1.