Question

a)x³ + y³ ?
b)x³ - y³?
c)x³ + 8?
d)3x³ - 3?
e)2x³-54?

Answer 1

a) x³ + y³ = (x + y)(x² - xy + y²)
b) x³ - y³ =  (x - y)(x² + xy + y²)
c) x³ + 8 = x³ + 2³ = (x + 2)(x² - 2x + 2²) = (x + 2)(x² - 2x + 4)
d) 3x³ - 3= 3(x³ - 1) = 3[x - 1)(x² + x + 1)]
e) 2x³ - 54 = 2(x³ - 27) = 2(x³ - 3³) = 2[(x - 3)(x² + 3x + 9)