a)\(x^3+8\)
= \(x^3+2^3\)
= (x + 2)(\(x^2-2x+4\))
b) \(27+m^3\)
= \(3^3+m^3\)
= (3 + m)(9 - 3m + \(m^2\))
c)\(x^3-8\)
= \(x^3-2^3\)
= (x - 2)(\(x^2+2x+4\))
d) \(27-y^3\)
= \(3^3-y^3\)
= (3 - y)(9 + 3y + \(y^2\))
a. \(x^3+8=x^3+2^3=x^3+6x^2+12x+8\)
b. \(27+m^3=3^3+m^3=9+27m+9m^2+m^3\)
c. \(x^3-8=x^3-2^3=x^3-6x^2+12x-8\)
d. \(27-y^3=3^3+y^3=9-27y+9y^2-y^3\)