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25 Jan 2024, 02:26
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
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Question Stats:
82% (01:38) correct
18%
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based on 376
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Which of the following is equal to \(\frac{(11!)^2 - (9!)^2}{(11! - 9!)^2}\)
A. 1/10
B. 109/111
C. 1
D. 111/109
E. 10
2024-01-25_13-21-50.png [ 18.59 KiB | Viewed 3785 times ]
A. 1/10
B. 109/111
C. 1
D. 111/109
E. 10
Attachment:
2024-01-25_13-21-50.png [ 18.59 KiB | Viewed 3785 times ]
25 Jan 2024, 02:30
Kudos
Bookmarks
guddo
Which of the following is equal to \(\frac{(11!)^2 - (9!)^2}{(11! - 9!)^2}\)
A. 1/10
B. 109/111
C. 1
D. 111/109
E. 10
A. 1/10
B. 109/111
C. 1
D. 111/109
E. 10
Attachment:
2024-01-25_13-21-50.png
- \(\frac{(11!)^2 - (9!)^2}{(11! - 9!)^2}=\)
\(=\frac{(11! - 9!)(11! + 9!)}{(11! - 9!)^2}=\)
\(=\frac{11! + 9!}{11! - 9!}=\)
\(=\frac{9!(10*11 + 1)}{9!(10*11 - 1)}=\)
\(=\frac{10*11 + 1}{10*11 - 1}=\)
\(=\frac{111}{109}.\)
Answer: D.
08 Jul 2024, 07:02
Kudos
Bookmarks
Bunuel
guddo
Which of the following is equal to \(\frac{(11!)^2 - (9!)^2}{(11! - 9!)^2}\)
A. 1/10
B. 109/111
C. 1
D. 111/109
E. 10
A. 1/10
B. 109/111
C. 1
D. 111/109
E. 10
Attachment:
2024-01-25_13-21-50.png
- \(\frac{(11!)^2 - (9!)^2}{(11! - 9!)^2}=\)
\(=\frac{(11! - 9!)(11! + 9!)}{(11! - 9!)^2}=\)
\(=\frac{11! + 9!}{11! - 9!}=\)
\(=\frac{9!(10*11 + 1)}{9!(10*11 - 1)}=\)
\(=\frac{10*11 + 1}{10*11 - 1}=\)
\(=\frac{111}{109}.\)
Answer: D.
Can you explain why you did this step? 9!(10*11+1)/9!(10*11-1)
