Using pattern of square numbers, the square of 45 can be written as

(4 x 5) x 100 + 25

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(4 x 5) x 1000 + 25

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(4 x 5) x 1000 - 25

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(4 x 5) x 100 - 25

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Solution

The correct option is A
(4 x 5) x 100 + 25

We know that:

For every number (a5) with unit digit 5, we have:

(a5)² = a(a+1) hundred + 5²

45² = (4 x 5) x 100 + 25.

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