Using the same identity, find the values of the following: Class 9

Using the same identity, find the values of the following: Class 9

Question 1.

Using the same identity, find the values of the following: Class 9

i. (64)²

ii. (105)²

iii. (205)²

Solution:

i. (64)² = (60 + 4)²

Here, a = 60 and b = 4

∴ (64)²= (60 + 4)²

= 60² + 2(60)(4) + 4²

= 3600 + 480 + 16

= 4096

ii. 105² = (100 + 5)²

Here, a = 100 and b = 5

∴ 105² = (100 + 5)²

= 100² + 2(100)(5) + 5²

= 10000 + 1000 + 25

= 11025

iii. 205² = (200 + 5)²

Here, a = 200 and b = 5

∴ 205² = (200 + 5)²

= 200² + 2(200)(5) + 5²

= 40000 + 2000 + 25

= 42025