Search Results

6 results for “cubes”

Formulae (6)

a^3 + b^3 = (a+b)(a^2 - ab + b^2)

Factors the sum of two cubes.

a^3 - b^3 = (a-b)(a^2 + ab + b^2)

Factors the difference of two cubes.

\sum_{k=1}^{n} k^3 = \left(\frac{n(n+1)}{2}\right)^2

Closed form for the sum of the first n cubes.

a^3 + b^3 = (a+b)(a^2 - ab + b^2)

Factoring formula for a sum of two cubes.

a^3 - b^3 = (a-b)(a^2 + ab + b^2)

Factoring formula for a difference of two cubes.

\sum_{k=1}^{n} k^3 = \left(\frac{n(n+1)}{2}\right)^2

The sum of the first n cubes equals the square of the sum.