Question

evaluate 111^3 using suitable identity​

Answer 1

Answer:

111^3

=(100+11)^3

now by (a+b)^3 =a^3+b^3+3ab(a+b)

putting values =100^3+11^3+300×11×111

=10^6+1331+3300×111

=10^6+1331+366300

=10^6+367631

=1000000+367631

=1367631

Hope it helps

Answer 2

The expression is  $111^3=1367631$

Step-by-step explanation:

Given : Expression $111^3$

To find : Evaluate expression using suitable identity​ ?

Solution :

Re-wrote expression as,

$111^3=(100+11)^3$

Applying algebraic identity,

$111^3=100^3+11^3+3(100)(11)(100+11)$

$111^3=100^3+11^3+330(111)$

$111^3=1000000+1331+366300$

$111^3=1367631$

Therefore, the expression is  $111^3=1367631$

#Learn more

Evaluate 111^3-89^3 please

https://brainly.in/question/3720066