If a - 1/a = 3, find a^2 + 3a + 1/a^2 - 3/a
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Coming to the equation, let's group the terms a^2, 1/a^2 as one and 3a, 3/a as another
The equation can be written as
a^2+1/a^2+3a-3/a
(a-1/a)^2 +2*a*1/a + 3*(a-1/a)
Putting the value of a-1/a =3
3^2 +2+3*3
9+2+9
20
The required answer is 20
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