anarenkhsuren060 anarenkhsuren060

19-06-2021
Mathematics

contestada

What are some easy ways to find the value of

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

Respuesta :

tvmnbdexe tvmnbdexe

19-06-2021

Answer:

Step-by-step explanation:

[tex]\frac{2017^4 - 2016^4}{2017^2 + 2016^2}[/tex]

[tex]= \frac{(2017^2 - 2016^2)(2017^2 + 2016^2)}{2017^2 + 2016^2}[/tex]

[tex]= (2017^2 - 2016^2)[/tex]

[tex]= (2017 - 2016)(2017 + 2016)\\= 4033[/tex]

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