
The Casio fx-9750GIII does all that the Casio fx-9860GIII can, using exactly the same key strokes.
The Casio software update page seen immediately below describes the fx-9750GIII as having exactly the same software upgrade as the fx-9860GIII
https://edu.casio.com/download_service/en/download/index.html

The following page explains that all variants of the fx-9750GIII and fx-9860GIII are approved for NCEA: https://www2.nzqa.govt.nz/ncea/student-assessment-hub/list-of-approved-calculators/
NZ schools have bought less than 10 of the fx-9860GIII from come-here.co.nz but they have bought more than 3,500 of the fx-9750G series from come-here.co.nz The fx-9750GIII is on NZ high school NCEA stationery lists. If the fx-9860GIII is on your school stationery list instead, that means you can buy the fx-9750GIII
The full Casio manual covers both model numbers, and is called "fx-9860GIII_9750GIII Soft Manual ver 3.40" at https://tinyurl.com/fx9750giii
The Casio fx-9750GIII is the same as the Casio fx-9860GIII , and uses exactly the same key presses, except that the fx-9750GIII has some extra features. If you search the manual for "9750GIII", you will find the following:
- Page 1-12 (pdf page 19): fx-9750GIII has an extra Input/Output mode called: Mth/Mix mode


- Page 2-4 (pdf page 47): With the fx-9750GIII, you can turn implied multiplication on or off
- Page B-1 (pdf page 389): The fx-9750GIII has an extra examination mode specifically for Texas. Both the fx-9860GIII and fx-9750GIII have an exam mode. This is a mode where various functions are disabled during exams, and a letter icon in the top right blinks to prove to the invigilator that the calculator is in exam mode. This is only used in the USA.

Of these differences, only the extra Input/Output mode (Mth/Mix mode) seems useful
The fx-9750GIII is usually available in these colours:
The fx-9860GIII is only available in white