Question

Factor the polynomial completely.

x^3+64

Answer 1

x^3+64
=(x)^3+(4)^3

By using the cube formula:
a^+b^3= (a+b)(a^2-ab+b^2)
so here we have a=x and b=3
(x+3)(x^2-3x+9)=0
either x+3=0 or (x^2-3x+9)=0
x=-3 or here a=1, b=-3 and c=9 here we use quadratic formula which is given below and just put the values and solve it: