Question

Expand using identities (2 − 5/2)^2​

Answer 1

Answer:

1/4

Step-by-step explanation:

(2 − 5/2)²

(a-b)² = a² + b² -2ab

Here, a =2 b = 5/2

= 2² + (5/2)² - 2(2)(5/2)

= 4 + 25/4 - 20/2 [ find LCM of 4 + 25/4 and cancel 20/2

= 4x4/1x4 + 25/4 - 10

= 16/ 4 + 25/4 - 10

= (16+25)/4 - 10

= 41/4 - 10 [ Find LCM ]

= 41x1/4x1 - 10x4/1x4

= 41/4 - 40/4

= (41-40)/4

= 1/4

                Hope it is helpful. Take care.