Algbrea 2 Math

Question

Algebra 2 math

 

9x^3+72=

Answer 1

If you factor a 9 out of the equation you get:

 

9(x³+8),   note that the term inside the paraenthasis is addition of perfect cubes, so you can apply the general solution, (a+b)(a²-ab+b²).  In this case, a=x and b=2.

 

So the final solution is:

 

9[(x+2)(x²-2x+4)]

 

 

Answer 2

Hello, thank you for taking the time to post your question!

You just want to factor the expression here as much as possible! So we have

9x^3 + 72

=9(x^3 + 8)     after factoring out the 9

=9(x + 2)(x^2 – 2x + 4)  applying the sum of perfect cubes property

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)