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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
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