Using suitable identities find (1092)^2.
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Given:
A number in the exponential form (1092)².
To Find:
The expansion of the above form using suitable identities.
Solution:
1. Consider the given number (1092)².
2. The given number can be also written as,
=> (1092)² = (1000+92)²,
3. The formula for the expansion of (a+b)² is,
=> (a+b)² = a² + b² + 2ab,
4. Use the above formula to find the value,
=> (1000+92)² = 1000² + 92² + 2 x 1000 x 92,
=> (1000+92)² = 1000000 + 8464 + 184000,
=> (1000+92)² = 1192464.
Therefore, the value of (1092)² is 1192464.
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