SOLUTION: Use the difference-of-squares pattern to factor. x^6 - 9y^2 = Comment: I'm having trouble figuring out how to factor the x^6 , none of the examples in the chapter have no

Algebra ->  Square-cubic-other-roots -> SOLUTION: Use the difference-of-squares pattern to factor. x^6 - 9y^2 = Comment: I'm having trouble figuring out how to factor the x^6 , none of the examples in the chapter have no      Log On


   



Question 553000: Use the difference-of-squares pattern to factor.
x^6 - 9y^2 =


Comment: I'm having trouble figuring out how to factor the x^6 , none of the examples in the chapter have none square x values. also, none of the rules describe how to do it with x^6.
Thank you, Anthony

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
x^6 - 9y^2
notice we can rewrite as:
(x^3)^2 - (3y)^2
now, we have a difference of squares which factors to:
(x^3 - 3y)(x^3 + 3y)