If $5 * 5$ = $10$ , $6*6$ = $18$ , $7*7$ = $36$ ; then $7* 8$ =?

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If $$\quad 5 * 5 = 10$$ ,
$$\quad 6*6=18$$
$$\quad 7*7=36$$
then $$\quad 7* 8 = ?$$

a) $54 \quad$ b) $51 \quad$ c) $30$

NOTE: Here '$*$' is not simple multiplication
It is some logic or combinations of operations from which we are getting $10$ from $5$ and $5$
Similarly, we are getting the rest of the relations via the same logic or combinations of operations

My Thoughts:
$$10= 5*(5-3)$$ i.e, LOGIC: $\quad x* (x-3) = $ RHS
Similarly $2nd$ relation is satisfied, i.e, $$18=6*(6-3)$$ $$\text{But, } 36 \neq 7 * (7-3)$$ So, how to solve this puzzle? Any Suggestions please...

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Suggestion: Let $ab=10x+y$. Then $a*b=f(x,y)$.