Factor u^3-64

Problem

u3−64

Solution

1. Identify the expression as a difference of two cubes, which follows the form a3−b3

2. Rewrite the constant term as a cube to determine the values of a and b

u3−4

3. Apply the formula for the difference of cubes, which is a3−b3=(a−b)*(a2+a*b+b2)

4. Substitute a=u and b=4 into the formula.

(u−4)*(u2+u⋅4+4)

5. Simplify the terms inside the second set of parentheses.

(u−4)*(u2+4*u+16)

Final Answer

u3−64=(u−4)*(u2+4*u+16)

Want more problems? Check here!