Question

Evaluate (104)³ using suitable identity.

Answer 1

(104)^3 = (100+4)^3
=100^3 + 4^3 +3*100^2*4 + 3*100*4^2
=1000000+64+120000+4800
=1120000+4864
=1124864
hope it helps

Answer 2

The value of (104)³ is 1124864

Given : The mathematical term is, (104)³

To find : The evaluation of the mathematical term using suitable identities.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to evaluate the given mathematical term with suitable identities)

Now, we cannot just manually evaluate the given mathematical term, we have to use proper identities.

So,

= (104)³

= (100 + 4)³

= (100)³ + [3 × (100)² × 4] + [3 × 100 × (4)²] + (4)³

= (1000000) + (120000) + (4800) + (64)

= 1124864

(This will be considered as the final result.)

Used formula :

• (a+b)³ = a³ + 3a²b + 3ab² + b³

Hence, the value of (104)³ is 1124864