Question

factorise 25a^2-35a+12​

Answer 1

Answer:

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

Step-by-step explanation:

25a²-35a+12

→25a²-20a-15a+12

→5a(5a-4)-3(5a-4)

→(5a-4)(5a-3)

Answer 2

Let us first factorize the given expression

25a²−35a+12 as shown below:

=25a²-35a+12

=25a²+15a-20a+12

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

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

Therefore, the area of the rectangle is (5a−4)(5a−3) and we also know that the area of the rectangle is A=length×breadth.

Hence, the length and breadth can both be (5a−4) or (5a−3).