Factored form for x^3-64=0
step by step
To find the factored form of x^3 - 64 = 0, we can use the difference of cubes formula, which states that a^3 - b^3 can be factored as (a - b)(a^2 + ab + b^2). Here's the step-by-step process:
1. Rewrite the equation as the difference of cubes: x^3 - 4^3 = 0.
2. Apply the difference of cubes formula: (x - 4)(x^2 + 4x + 16) = 0.
So, the factored form of x^3 - 64 = 0 is (x - 4)(x^2 + 4x + 16) = 0.