SOLUTION: How do I simplify the expression and then factor? Expression: 23w^3 - 5w^2x + 8wx^2 - 8w^3 - 13wx^2 + 30w^2x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do I simplify the expression and then factor? Expression: 23w^3 - 5w^2x + 8wx^2 - 8w^3 - 13wx^2 + 30w^2x      Log On


   

Question 1163014: How do I simplify the expression and then factor?
Expression: 23w^3 - 5w^2x + 8wx^2 - 8w^3 - 13wx^2 + 30w^2x
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) Combine like terms -- terms with the same combinations of variables and powers.

23w%5E3+-+5w%5E2x+%2B+8wx%5E2+-+8w%5E3+-+13wx%5E2+%2B+30w%5E2x

%2823w%5E3-8w%5E3%29%2B%28-5w%5E2x%2B30w%5E2x%29%2B%288wx%5E2-13wx%5E2%29

15w%5E3%2B25w%5E2x-5wx%5E2

(2) Factor out the greatest common factor of all three terms.

5w%283w%5E2%2B5wx-x%5E2%29

The remaining quadratic factor does not factor further, so this is the final simplified and factored expression.