Factor and cubes

Question

Solve 4x^3 - 125 and show all steps of the process

Answer 1

Although the student asks to "solve," the caption is "Factors and Cubes."

Also an expression is given not an equation.

a³ + b³ = (a + b)(a² - ab + b²)

(³√4)³x³ - 5³ = (³√4 + 5)((³√4)² - 5³√4 + 25)

Answer 2

The question seeks to find the solution for X of this equation:

4x^3-125=0

To start, add +125 to both sides of the equation (the change renders a net impact to the equation of zero):

4x^3-125+125 = 125

The result is:

4x^3 = 125

Divide both sides of the equation by 4:

x^3 = 125/4

x^3 = 31.25

Now complete the solution by taking the cube root of both sides:

x=cube root of 31.25 which equals 3.14980

x= 3.14980 (assume some round-off error).