which is smaller? A=(2015)(2014)(2013)(2012)(2011) or B = 2013^5
How to answer without calculating it all.
With explanation please.
Answers
Answered by
1
Answer:
B
Step-by-step explanation:
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Answered by
3
Answer:
A is smaller.
Step-by-step explanation:
We can write A=(2015)(2014)(2013)(2012)(2011) as follows,
A=(2013+2)(2013+1)(2013)(2013-1)(2013-2)
=(2013+2)(2013-2)(2013+1)(2013-1)(2013)
=(2013²-2²)(2013²-1²)(2013)
=2013²×2013²×2013-(2²+1²)
=2013^5-5
So
2013^5>2013^5-5
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