Question

Express (x – 1)(x + 2)(2x + 2) in standard form

Answer 1

Answer:

2x³ + 4x² - 2x - 4

Step-by-step explanation:

Expand the first pair of factors then multiply by (2x + 2)

= (x² + x - 2)(2x + 2) → distribute terms

= x²(2x + 2) + x(2x + 2) - 2(2x + 2)

= 2x³ + 2x² + 2x² + 2x - 4x - 4 ( collect like terms )

= 2x³ + 4x² - 2x - 4 ← in standard form