What is the value of (1,000,001)² − (999,999)² ?
- 2,000,000
- 4,000,000
- 6,000,000
- 8,000,000
Explanation
We use the algebraic identity:
(a² − b²) = (a − b)(a + b)
Let:
a = 1,000,001
b = 999,999
Now:
(1,000,001)² − (999,999)² = (1,000,001 − 999,999)(1,000,001 + 999,999)
= (2)(2,000,000) = 4,000,000
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