Question

What are some easy ways to find the value of

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

Answer 1

Answer:

Step-by-step explanation:

$\frac{2017^4 - 2016^4}{2017^2 + 2016^2}$

$= \frac{(2017^2 - 2016^2)(2017^2 + 2016^2)}{2017^2 + 2016^2}$

$= (2017^2 - 2016^2)$

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