Question

give the possible expressions for the length and breadth of 25 a square - 35 a+ 12 in which area is given

Answer 1

25a²-35a+12 = 25a²-15a-20a+12

= 5a(5a-3)-4(5a-3)

= (5a-3)(5a-4)                               (By middle term splitting)

Hence, the length can be (5a-3) and breadth can be (5a-4)