Considering the minus sign between 5ab and 6b2 then we have the polynomial as 6a2 + 5ab - 6b2. The polynomial is a quadratic polynomial.
Steps to factorize a quadratic polynomial:
1 - Multiply first term by third term. 6a2 x (-6b2) = -36a2b2
2 - If possible break the second term into two terms such that they multiple to -36a2b2. If not then it is factorized by Sridharacharya's formula.
5ab can be broken as 9ab + (-4ab).
These two terms multiply to give -36a2b2.
So we can write 6a2 + 5ab - 6b2 = 6a2 + 9ab + (-4ab) - 6b2.
6a2 + 9ab - 4ab - 6b2 = 3a(2a + 3b) - 2b(2a + 3b) = (2a + 3b)(3a - 2b).
So the factors are (2a + 3b) and (3a - 2b).
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6a2 + 5ab - 6b2 = 6a2 + 9ab - 4ab - 6b2 = 3a(2a + 3b) - 2b(2a + 3b)
= (2a + 3b)*(3a - 2b)