Question

Evaluation 102 into 106 by using identities

Answer 1

Answer:

Using the formula (x+a)(x+b) = x

2

+(a+b)x+ab

Writing 102=100+2 and 106=100+6

Taking x=100, a=2, b=6 and substituing in the above formula we get: (100+2)(100+6) = 100

2

+(2+6)100+(2)(6) =10000+800+12

Hence the answer is 10812

Answer 2

Answer:

10812

Step-by-step explanation:

Using the formula (x+a)(x+b) = x²+(a+b)x+ab

Writing 102=100+2 and 106=100+6

Taking x=100, a=2, b=6 and substituing in the above formula we get:

(100+2)(100+6) = 100² +(2+6)100+(2)(6) =10000+800+12

Hence the answer is 10812

Hope it is helpful