Answers

2014-08-09T21:10:35+05:30
First factor a^{2} -  b^{2} to (a - b) * (a + b)
Let (a + b) = x and (a - b) = y

Then we have 6 x^{2} + 5xy - 6 y^{2}  \\ 6 x^{2} + 9xy - 4xy - 6 y^{2} \\ 3x(2x + 3y) - 2y(2x + 3y) \\ (3x - 2y) (2x + 3y)

Now 3x - 2y -> 3(a + b) - 2 (a - b) -> a + 5b
and 2x + 3y -> 2(a + b) + 3(a - b) -> 5a - b

Answer
(a + 5b) * (5a - b)
2 4 2
please also rate the solution, if you wish no compulsion :P
2014-08-09T21:42:05+05:30