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Q.

The square of the number 129 can be expressed as [[1]].

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answer is 16641.

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Detailed Solution

It can be written that 129 = 120 + 9

∴ 1292 = (120 + 9)2 = 120(120 + 9) + 9(120 + 9) 

= 120 × 120 + 120 × 9 + 9 × 120 + 9 × 9 

= 1202 + 1080 + 1080 + 92

Thus, the square of the number 129 can be expressed as

1292 = 1202 + 1080 + 1080 + 92

This method helps in finding the square of the number 129 without actually multiplying the numbers.

1292 = 1202 + 1080 + 1080 + 92

∴1292 = 14400 + 1080 + 1080 + 81 = 16641

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