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Heya dear !!!
(18) The Coefficient of X in the expansion of (X+3)² is
Solution :- ( X+3)³
Here,
A = X and B = 3
We know that,
( A + B)³ = (A)³ + (B)³ + 3×A × B ( A + B)
( X)³ + (3)³ + 3 × X × 3 ( X + 3)
X³ + 27 + 9X(X+3)
X³ + 27 + 9X² + 27X
X³ + 9X² + 27X + 27
Here,
Coefficient of X is 27.
HOPE IT WILL HELP YOU....... :-)
(18) The Coefficient of X in the expansion of (X+3)² is
Solution :- ( X+3)³
Here,
A = X and B = 3
We know that,
( A + B)³ = (A)³ + (B)³ + 3×A × B ( A + B)
( X)³ + (3)³ + 3 × X × 3 ( X + 3)
X³ + 27 + 9X(X+3)
X³ + 27 + 9X² + 27X
X³ + 9X² + 27X + 27
Here,
Coefficient of X is 27.
HOPE IT WILL HELP YOU....... :-)
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