a) 4x³- 4x =4 x(x²-1)
b) 4x²- 6x = 2x(2x-3)
c) 3x(x-1) + 5(x-1) = (x-1)(3x-5)
d) x³- 4x² + 4x = x(x²-4x+4) = x(x-2)²
e) -x - y² + x²- y = x² - y² - x - y = (x+y)(x-y) - (x+y) = (x+y)(x-y-1)
f) x(x+y) - 5x - 5y = x(x+y) - (5x+5y) = x(x+y) - 5(x+y) = (x+y)(x-5)
h) x² - 5x + 5y - y² = x² - y² - 5x + 5y = (x-y)(x+y) - (5x-5y) = (x-y)(x+y) - 5(x-y)
= (x-y)(x+y-5)