Question

using identities, evaluate the following:
103x140​

Answer 1

Given, (103)(105)

⇒(104+1)(104−1).

We know, a  

2

−b  

2

=(a+b)(a−b).

Then,

(103)(105)

=(104+1)(104−1)

=(104)  

2

−1  

2

 

=10816−1

=10815.

Therefore, the required answer is 10815.

Answer 2

140*103

=140*(100+3)

=(140*100)+[140*3]

=14000+420

14420

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