Question

Find the product:

(x – 1) (x + 3) (x + 2)

Answer 1

Given expression: (x – 1)(x + 3)(x + 2)

Step-wise calculation:

1. First, multiply the first two binomials:

(x – 1)(x + 3) = x² + 3x – 1x – 3 = x² + 2x – 3

2. Now multiply the result by the third binomial (x + 2): 

(x² + 2x – 3)(x + 2)

Expanding:

= x²(x) + x²(2) + 2x(x) + 2x(2) – 3(x) – 3(2)

= x³ + 2x² + 2x² + 4x – 3x – 6

3. Combine like terms:

x³ + (2x² + 2x²) + (4x – 3x) – 6 

= x³ + 4x² + x – 6