SOLUTION: Please help. Factor the following binomial. 25x^2 – 81y^2

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Question 77412: Please help.
Factor the following binomial.

25x^2 – 81y^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .


Now introduce the y term into the factorization:
%285x%2B9y%29%285x-9y%29
So in other words, 25x%5E2+-+81y%5E2 factors to
%285x%2B9y%29%285x-9y%29
Note: this binomial is a perfect square. All perfect squares of the form
x%5E2-y%5E2
factor to
%28sqrt%28x%29%2Bsqrt%28y%29%29%28sqrt%28x%29-sqrt%28y%29%29