Question

помогите решить плиз!
57^3-23^3
-------------- +57*23
34

Answer 1

$\frac{57^3-23^3}{34}+57\cdot23= \frac{(57-23)(57^2+57\cdot23+23^2)}{34}+57\cdot23= \\\\ = \frac{34\cdot (57^2+57\cdot23+23^2)}{34}+57\cdot23=57^2+57\cdot23+23^2+57\cdot23=\\\\ =57^2+2\cdot57\cdot23+23^2 = (57+23)^2=80^2=6400$