Question

E = 1008² - 1007² + 1357² - 2 . 1357 . 1356 + 1356²

Como resolver?

Answer 1

$E = 1008^{2} - 1007^{2} + 1357^{2} - 2 . 1357 . 1356 + 1356^{2}$

$E = (1008+1007).(1008- 1007) + (1357-1356)^{2}$

$E = (2015).(1) + (1)^{2}$

$E = 2015+ 1$

$E = 2016$