The coefficient of x in the expansion of (x +3)3 -
(a) 1
(b)
18
(c) 9
(d)
27
Daint Laulas
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Answer :
(d) 27
step by step :
- identity : ( a + b)³ = a³ + b³ + 3ab (a + b)
⇛(x + 3)³ = x³ + 3³ + 3(3)x ( x + 3)
⇛(x + 3)³ = x³ + 9 + 9x(x + 3)
⇛(x + 3)³ = x³ + 9 + 9x² + 27x
Here x is being multiplied by 27
so, coefficient of x is 27.
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