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What are some easy ways to find the value of (2017^4−2016^4)/(2017^2+2016^2) without calculator
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4 votes
What are some easy ways to find the value of

(2017^4−2016^4)/(2017^2+2016^2) without calculator

User Rperez
by
3.6k points

1 Answer

4 votes

Answer:

Explanation:


(2017^4 - 2016^4)/(2017^2 + 2016^2)


= ((2017^2 - 2016^2)(2017^2 + 2016^2))/(2017^2 + 2016^2)


= (2017^2 - 2016^2)


= (2017 - 2016)(2017 + 2016)\\= 4033

User Estevez
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