Question

What are the equations to Sum Of Cubes, Difference Of Cubes, and Difference Of Squares?

Answer 1

The equations for the Sum of Cubes, Difference of Cubes, and Difference of Squares are (a + b)(a² - ab + b²), (a - b)(a² + ab + b²), and (a + b)(a - b) respectively.

Step-by-step explanation:

The equation for the Sum of Cubes is a³ + b³ = (a + b)(a² - ab + b²).

The equation for the Difference of Cubes is a³ - b³ = (a - b)(a² + ab + b²).

The equation for the Difference of Squares is a² - b² = (a + b)(a - b).

Answer 2

Sum of Cubes:

a³ + b³ = (a + b)(a² - ab + b²)

Example: x³ + 8 → a=x, b=2

= (x + 2)(x² - 2x + 4)

Difference of Cubes:

a³ - b³ = (a - b)(a² + ab + b²)

Example: x³ - 27 → a=x, b=3

= (x - 3)(x² + 3x + 9)

Difference of Squares:

a² - b² = (a - b)(a + b)

Example: x² - 16 → a=x, b=4

= (x - 4)(x + 4)