Algbrea 2 Math

Question

Please help me out with this problem

 

x^3+125=

Answer 1

This is an addition of perfect cubes problem. The general pattern for the solution to this type of problem is:

a³ + b³ = (a + b)(a² – ab + b²)

 

in this case a=x and b=5, so the solution would be (x+5)(x²-5x+25).

 

Personal Note:  When I was learning factoring, I just memorized the general solution and focused on being able to recognize when I saw 2 cubes together.  Maybe that's not the best way to learn the material, but that's what worked for me.

Answer 2

(x + 5)(x² - 5x + 25)