Math, asked by im2229gur, 2 months ago

Using suitable identities find (1092)^2.

Answers

Answered by tanupriya385
0

Answer:

1092 ^{2}   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  =   {(1100 - 8)}^{2} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \\  = 1100 ^{2}  - 2 \times 1100 \times 8 + 8 ^{2}  \\  = 1210000 - 17600 + 64 \:  \:  \:  \:  \:  \:  \:  \:   \\  = 1192464 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

HOPE THIS WILL HELP YOU

Answered by Hansika4871
1

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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