find the coefficient of x²in (x²+2)³
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Answered by
2
Answer:
refer to the attachment (◕ᴗ◕✿)
Step-by-step explanation:
12 is coefficient of x²
Attachments:
Answered by
2
Step-by-step explanation:
Correct option is
D
−30
(1−x+x
2
)
5
General term:-
α
1
!α
2
!α
3
5!
1
α
1
(−1)
α
2
x
α
2
(x
2
)
α
3
=
α
1
!α
2
!α
3
!
5!
(−1)
α
2
x
α
2
+2α
3
For coefficient of x
3
α
2
+2α
3
=3
α
1
+α
2
+α
3
=5
α
3
=0,α
2
=3,α
1
=2
α
3
=1,α
2
=1,α
1
=3
∴ coefficient of x
3
=
2!3!0!
5!
(−1)
3
+
3!1!1!
5!
(−1)
1
=−
2
5×4
−5×4
=10−20
=−30.
Attachments:
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