If P(a⊙b#c)=a2+4b−2c, then the value of 3P(3⊙9#6)= ...
Explanation
Given the operation function definition as follows:
P(a⊙b#c)=a2+4b−2c
We are asked to find the value of:
3P(3⊙9#6)
Value Substitution
From the form 3⊙9#6, we get:
- a=3
- b=9
- c=6
Calculation
Substitute these values into the function formula P:
P(3⊙9#6)=32+49−2(6)
=9+4(3)−12
=9+12−12
=9
Finally, we divide the result by 3 as requested:
3P(3⊙9#6)=39=3
So, the value sought is 3.