Answer:  (6a + 5b) • (6a - 5b)
  
Reformatting the input :
Changes made to your input should not affect the solution:
 (1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).
Step by step solution :
Step  1  :
Equation at the end of step  1  :
  (36 • (a2)) -  52b2
 Step  2  :
Equation at the end of step  2  :
  (22•32a2) -  52b2
Step  3  :
Trying to factor as a Difference of Squares :
 3.1      Factoring:  36a2-25b2 
Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)
Proof :  (A+B) • (A-B) =
         A2 - AB + BA - B2 =
         A2 - AB + AB - B2 =
         A2 - B2
Note :  AB = BA is the commutative property of multiplication.
Note :  - AB + AB equals zero and is therefore eliminated from the expression.
Check :  36  is the square of  6 
Check : 25 is the square of 5
Check :  a2  is the square of  a1 
Check :  b2  is the square of  b1 
Factorization is :       (6a + 5b)  •  (6a - 5b) 
Final result :
  (6a + 5b) • (6a - 5b)
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