Question

Give possible expressions for the length and breadth of each of the following rectangles, in

which their areas are given: Area (i): 25a

2 – 35a + 12 (ii) Area : 35y

2 + 13y –12​

Answer 1

Answer:

Step-by-step explanation:

(i)  Area :  25a2 - 35a + 12

= First we factorize

25a2 - 35a + 12

We factorize it using the splitting the middle term method

= 25a2 - 15a - 20a - 12

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

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

(ii) 35y2 + 13y - 12

First we factorize

 We factorize using the spilliting  the middle term method

= 35y2 + 28y - 15y - 12

= 7y(5y + 4) - 3(5y + 4)

= (5y + 4) (7y - 3)

Hope this Answer will help you..