Question

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

Answer 1

$frac{57^3-23^3}{34}+57cdot23= frac{(57-23)(57^2+57cdot23+23^2)}{34}+57cdot23= \\ = frac{34cdot (57^2+57cdot23+23^2)}{34}+57cdot23=57^2+57cdot23+23^2+57cdot23=\\ =57^2+2cdot57cdot23+23^2 = (57+23)^2=80^2=6400$