What are the equations to sum of cubes, difference of cubes, and difference of squares?

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)

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

the anwser is d) 75°

step-by-step explanation: