A sum of cubes is a two-term expression where both terms are cubes and each term has the same sign. It is factored according to the following formula: a3 + b3 = (a + b) (a2 – ab + b2) How can you determine if an expression can be factored as a sum of cubes? .
What is Cube formula?
Length = Breadth = Height = a. Thus, the measure of each edge of the cube = a. Therefore, the volume of cube formula is a × a × a = a3. It is to be noted that the number obtained using cube formula is the perfect cube number.
How do you Factorise a cube?
An expression of the form a3 + b3 is called a sum of cubes. The factored form of a3 + b3 is (a + b)(a2 – ab + b2): (a + b)(a2 – ab + b2) = a3 + a2b – a2b – ab2 + ab2 + b3 = a3 – b3. For example, the factored form of 64x3 + 125 (a = 4x, b = 5) is (4x + 5)(16x2 – 20x + 25).
What is the sum of cubes of first n natural numbers?
We know that sum of cubes of first n natural numbers is = (n(n+1)/2)2.
How do you write 2 cubed?
2 cubed is 23 = 2×2×2 = 8. The term “cube” can be remembered because there are three dimensions in a cube (height, width, and depth) and the number being cubed appears three times in the calculation.
What is two cube difference?
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.