SOLUTION: 10. Completely factor the expression 144x^2 – 900y^2 11. Completely factor the expression 54x^3 – 72x^2y + 24xy^2 Hi I am down to the last two and I need some help qui

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 10. Completely factor the expression 144x^2 – 900y^2 11. Completely factor the expression 54x^3 – 72x^2y + 24xy^2 Hi I am down to the last two and I need some help qui      Log On


   

Question 507711: 10. Completely factor the expression
144x^2 – 900y^2

11. Completely factor the expression
54x^3 – 72x^2y + 24xy^2

Hi I am down to the last two and I need some help quickly please!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
10) 144x%5E2-900y%5E2 Notice that this is a difference of squares:
%2812x%29%5E2-%2830y%29%5E2 and this can be factored thus:
A%5E2-B%5E2+=+%28A-B%29%28A%2BB%29 so...
144x%5E2-900y%5E2+=+highlight%28%2812x-30y%29%2812x%2B30y%29%29
11) 54x%5E3-72x%5E2y%2B24xy%5E2 First factor 6x.
6x%289x%5E2-12xy%2B4y%5E2%29 Now factor the trinomial.
highlight%286x%283x-2y%29%283x-2y%29%29