To factor cubes, rewrite the original problem as two perfect cubes, square-multiply-square that answer and then write the final answer. If there is a greatest common factor in the original problem, factor that out. Be sure to include it in the final answer.Continue Reading
Factoring a problem into a sum of cubes only takes a few steps. Multiplication is the main skill needed to find the answer.
Step 1: Write the original problem as two perfect cubes
Using the problem x3+64, this step is (x)3+(4)3. To make for easy reference for the rest of the process, simply use x + 4 and disregard the square for now.
Step 2: Square-multiply-square
Step 3: Write the final answer
Factoring cubes always results in two sets of equations. To write the answer, first write the equation from Step 1, in this case (x + 4). Next, write an equation using the terms from Step 2. For this problem, use x2, 4x and 16. It is important that the plus and minus signs are correct. The second sign is the opposite of the one in the original problem and always ends with a plus sign. This answer is x2 - 4x + 16. The final answer is (x+4) (x2 - 4x + 16).Learn more about Shapes