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13 results for “cube”

Formulae (13)

n^3 = n\times n\times n

A number multiplied by itself three times.

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.

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

Expands the cube of a binomial expression.

\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.

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

Expansion of a binomial raised to the third power.

V = a^3

The volume of a cube.

A = 6a^2

Total surface area of a cube.

T^2 \propto a^3

The square of the orbital period is proportional to the cube of the semi-major axis.

QTc = \frac{QT}{\sqrt[3]{RR}}

Heart-rate-corrected QT interval using a cube root.

\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.