Question

Answer 1

a) (x² + 2x + 1) - 3(x + 1)

= (x + 1)² - 3(x + 1)

= (x + 1)(x + 1 - 3)

= (x + 1)(x - 2)

b) x² - y² + 4x + 4

= (x² + 4x + 4) - y²

= (x + 2)² - y²

= (x + 2 - y)(x + 2 + y)

c) x³ + 27 + (x + 3)(x - 9)

= (x + 3)(x² - 3x + 9) + (x + 3)(x - 9)

= (x + 3)(x² - 3x + 9 + x - 9)

= (x + 3)(x² - 2x)

d) 2x³ - 4x² - 2x + 4

= (2x³ - 4x²) - (2x - 4)

= 2x²(x - 2) - 2(x - 2)

= (x - 2)(2x² - 2) 

:)