Answer :

Step-by-step explanation:

To find the square of 202 using the formula \((a + b)^2 = a^2 + 2ab + b^2\), we can let \(a = 200\) and \(b = 2\), as 202 can be expressed as \(200 + 2\).

Substitute the values into the formula:

\((200 + 2)^2 = 200^2 + 2 \times 200 \times 2 + 2^2\)

Now calculate each part:

\(200^2 = 40,000\)

\(2 \times 200 \times 2 = 800\)

\(2^2 = 4\)

Now add these values:

\(40,000 + 800 + 4 = 40,804\)

So, the square of 202 using the formula is 40,804.

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