multiplication is in essence the same thing as addition
3×2 is just 3+3
how we can know 7×7 is 49 ?
well we just memorised it
let us hay F×2
is the same as F+F = 1E
so, for hex multiplication, using a table helps go faster


you of course can derive the table if you wish !
let us do a normal multiplication i.e. base 10

for hex mult same process
let us do as @WittyBit proposed
A6 * D2