Ask Question
28 February, 22:21

How do I Factor 125x^3 - 64

The answer is not (5x+4) (5x-4) or (5x-4) (25x^2 + 15x+16)

+4
Answers (1)
  1. 28 February, 23:49
    0
    The correct factorization would be (5x - 4) (25x^2 + 20x + 16).

    The law of factoring cubes states that we use the following formula when we have two cubes being subtracted by one another.

    (a - b) (a^2 + ab + b^2)

    If we take the cube root of 125x^3 we get 5x, which will be our a value. If we take the cube root of 64, we get 4, which will be our b value. Then we plug in to the formula.

    (5x - 4) ((5x) ^2 + (5x) (4) + 4^2)

    (5x - 4) (25x^2 + 20x + 16)

    I think the problem with your second answer is that you just did not properly multiply the 5x and the 4 to get 20x (instead you got 15x).
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “How do I Factor 125x^3 - 64 The answer is not (5x+4) (5x-4) or (5x-4) (25x^2 + 15x+16) ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers