Question

2. Use identities to evaluate :
(i) (101)
(ii) (502)
(iii) (97)
(iv) (998)2​

Answer 1

Answer:

1- (101)^2

( 100 + 1 ) ^2

using identity (a +b)^2 = a^2 + b^2 + 2ab

100^2 + 1^2 + 2(100)(1)

10000 + 1 + 200

10201

2- (502)^2

(500 + 2)^2

using identity (a +b)^2 = a^2 + b^2 + 2ab

500^2 + 2^2 + 2(500)(2)

50000 + 4 + 2000

52004

3- (97)^2

(90 + 7)^2

using identity (a +b)^2 = a^2 + b^2 + 2ab

90^2 + 7^2 + 2(90)(7)

8100 + 49 + 1260

9409

4-(998)^2

(1000 - 2)^2

using identity (a - b)^2 = a^2 + b^2 - 2ab

1000^2 + 2^2 - 2(1000)(2)

1000000 + 4 - 4000

1000004 - 4000

996004

hope it helps you