Question

(102)³,Evaluate it using suitable identites.

Answer 1

(102)^3
=(100+2)^3
=(100)^3+(2)^3+3 (100)^2×2+3(2)^2×100
=1,061,208

Answer 2

Answer:

1061208

Step-by-step explanation:

We have to evaluate (102)³.

To find the value of the above expression we will use the very common identity which is (a+b)³=a³+b³+3a²b+3ab² ......... (1)

Now, we can evaluate the above expression as follows.

(102)³

=(100+2)³

=(100)³+2³+3(100)².2+3.100.2²

{Here we have used the identity (1), where a is equal to 100 and b is equal to 2.}

=1000000+8+6(10000)+1200

=1000000+8+60000+1200

=1061208 (Answer)