GreenlightTestPrep wrote:
Which of the following is equivalent to \(\frac{1,000,001 \times 999,999}{1001}\)?
A) \(1,001 \times 999,999\)
B) \(10,001 \times 99,999\)
C) \(100,001 \times 9,999\)
D) \(1,000,001 \times 999\)
E) \(10,000,001 \times 99\)
\(\frac{1,000,001 \times 999,999}{1,001}=\frac{(1,000,000 + 1)(1,000,000 - 1)}{1,001}\)
\(=\frac{(1,000,000 + 1)(1,000^2 - 1^2)}{1,001}\)
\(=\frac{(1,000,001)(1,000+ 1)(1,000-1)}{1,001}\)
\(=\frac{(1,000,001)(1,001)(999)}{1,001}\)
\(=1,000,001 \times 999\)
Answer: D
Cheers,
Brent
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Brent Hanneson - founder of Greenlight Test Prep