Question

Example 2:
Compute (1100)2 - (11)2​

Answer 1

The answer is 1209879

Given : The given mathematical problem is, (1100)² - (11)²

To find : The answer to the given mathematical problem.

Solution :

We can simply solve this mathematical problem by using the following process. (our goal is to calculate the answer to the given mathematical problem)

Here, we will be using general algebraic identities, instead of direct calculations.

So,

= (1100)² - (11)²

= (1100 + 11) ( 1100 - 11)

= (1111) (1089)

= 1209879

(This will be considered as the final result.)

Used identities :

• a²-b² = (a+b) (a-b)

Hence, the answer is 1209879

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