SOLUTION: i was told to factor the following X^3+125 i think this is the answer (x^2+5) (x+25) because x^2 *x=x^3 and because 5*25=125 am i correct or not and what is the greatist

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: i was told to factor the following X^3+125 i think this is the answer (x^2+5) (x+25) because x^2 *x=x^3 and because 5*25=125 am i correct or not and what is the greatist      Log On


   

Question 1090930: i was told to factor the following

X^3+125
i think this is the answer
(x^2+5) (x+25)
because x^2 *x=x^3
and because 5*25=125
am i correct or not and what is the greatist common factor
and can it be a variable.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3%2B125
x%5E3%2B5%5E3
%28x%2B5%29%28x%5E2-5x%2B5%5E2%29
%28x%2B5%29%28x%5E2-5x%2B25%29


(Formula for Sum Of Cubes)

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
The square of the sum formula is                 %28a+%2B+b%29%5E2+=+a%5E2+%2B+2ab+%2Bb%5E2.
      For details and examples of applications of this formula see the lesson The square of the sum formula in this site.


The square of the difference formula is     %28a+-+b%29%5E2+=+a%5E2+-+2ab+%2Bb%5E2.
      For details and examples of applications of this formula see the lesson The square of the difference formula in this site.


The difference of squares formula is       a%5E2+-+b%5E2+=+%28a+%2B+b%29%2A%28a-+b%29.
      For details and examples of applications of this formula see the lesson The difference of squares formula in this site.


The sum of cubes formula is                       a%5E3+%2B+b%5E3+=+%28a+%2B+b%29%2A%28a%5E2+-+ab+%2B+b%5E2%29.
      For details and examples of applications of this formula see the lesson The sum of cubes formula.


The difference of cubes formula is           a%5E3+-+b%5E3+=+%28a+-+b%29%2A%28a%5E2+%2B+ab+%2B+b%5E2%29.
      For details and examples of applications of this formula see the lesson The difference of cubes formula.