Question

Answer 1

3x² - 6x = 3x.(x - 2)

x² - 2x + 1 - y²= (x - 1)² - y² = (x + y -1).(x - y + 1)

9x³ - 9x²y - 4x +4y =(9x³ - 9x²y) - (4x - 4y) =9x.(x - y) - 4.(x - y) =(x- y).(9x - 4)

x³ - 2x² - 8x = x.(x² - 2x - 8) = x.(x² - 4x + 2x -8) = x.[x.(x - 4) + 2.(x - 4)] =

x.(x - 4).(x + 2)

Answer 2

1. x³ - 2x² - 8x

= x (x² - 2x - 8)

= x (x² - 4x + 2x - 8)

= x [x(x - 4) + 2 (x - 4)]

= x (x - 4) (x + 2)

2. 3x² - 6x

= 3x (x - 2)

3. x² - 2x + 1 - y²

= (x + 1)² - y²

= (x + 1 + y) (x + 1 - y)

4. 9x³ - 9x² - 4x + 4y

= 9x² (x - y) - 4 (x - y)

= (x - y) (9x² - 4)

= (x - y) (3x - 2) (3x + 2)