Answer :

The product of 57 and 57 is 3249.

The formula to square a binomial can be applied. To be more precise, you can use the identity:

[tex]\[(a + b)^2 = a^2 + 2ab + b^2\][/tex]

In this case, 57 can be expressed as 50+7. Applying the formula:

[tex]\[(50 + 7)^2 = 50^2 + 2 \times 50 \times 7 + 7^2\][/tex]

Now, calculate each term:

Calculate

50² = 2500

Calculate

2×50×7 = 700

Calculate

7² = 49

Combine these results:

(50+7)² = 2500 + 700 + 49 = 3249

So, the detailed calculation of 57×57 using the binomial expansion formula is:

3249