A Versatile Palindrome

From Royal V. Heath in Scripta Mathematica, March 1955:

0264 + 4125 + 5610 = 0165 + 5214 + 4620

… remains valid if you split each term with a multiplication sign:

02 × 64 + 41 × 25 + 56 × 10 = 01 × 65 + 52 × 14 + 46 × 20

… or an addition sign:

02 + 64 + 41 + 25 + 56 + 10 = 01 + 65 + 52 + 14 + 46 + 20

Remarkably, everything above holds true if you square each term.