The difference of two cubes is equal to the difference of their cube roots times a trinomial, which contains the squares of the cube roots and the opposite of the product of the cube roots. A number's opposite is that same number with a different sign in front.
Mathematics and science go hand in hand. The branches of science which include: Physics, astronomy, chemistry, biology, etc. In all these fields you will find that you will have to use the mathematical principles and formulae to solve the numerical problems. So, science needs maths but maths does not need science.
