Evaluate the following using suitable identity
1999*1999
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Answered by
0
2000-1×2000-1 = 2000×2000+1×1 - 2×2000×1 = 4000000+1-4000 = 3996001
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(1999)(1999)
.
Rewrite as:
= (2000 - 1)(2000 -1)
=(2000 - 1)²
.
Apply (a + b)² = a² -2ab + b²
= (2000)² - 2(2000)(1) + 1²
= 4 000 000 - 4 000 + 1
= 3 996 001
.
Answer: The answer is 3 996 001
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