SOLUTION: 36x^2-121y^2=

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 36x^2-121y^2=      Log On


   

Question 251577: 36x^2-121y^2=
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

36x%5E2-121y%5E2 Start with the given expression.


%286x%29%5E2-121y%5E2 Rewrite 36x%5E2 as %286x%29%5E2.


%286x%29%5E2-%2811y%29%5E2 Rewrite 121y%5E2 as %2811y%29%5E2.


Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=6x and B=11y.


So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:


A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.


%286x%29%5E2-%2811y%29%5E2=%286x%2B11y%29%286x-11y%29 Plug in A=6x and B=11y.


So this shows us that 36x%5E2-121y%5E2 factors to %286x%2B11y%29%286x-11y%29.


In other words 36x%5E2-121y%5E2=%286x%2B11y%29%286x-11y%29.