Question

Gravitational force between two point masses m1
and m2
placed at a distance r is given by
1 2
2
Gm m F
r
= ; where G is an universal constant. An
object of mass M is divided into two parts, which
are placed at distance r. Find the mass of both parts
if gravitation force of attraction is maximum
between them.

Answer 1

the product of two numbers is maximum when they are the same.
Just as the area of a rectangle with a given perimeter is maximum when it is a square.

and write the law as

F = Gm1*m2/r^2

if you want to be able to read it.