Applying the Binomial Theorem
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
What is the coefficient of
x
3
x^3
x
3
in
(
x
+
2
)
5
(x+2)^5
(
x
+
2
)
5
?
QUESTION
What is the coefficient of
x
5
y
x^5y
x
5
y
in
(
x
−
y
)
6
(x-y)^6
(
x
−
y
)
6
?
QUESTION
What is the coefficient of
x
6
y
4
x^6y^4
x
6
y
4
in
(
x
+
y
)
10
(x+y)^{10}
(
x
+
y
)
10
?
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ANSWER
(
10
4
)
=
210
\binom{10}{4}=210
(
4
10
)
=
210
. The coefficient of
x
6
y
4
x^6y^4
x
6
y
4
is
(
10
4
)
=
210
\binom{10}{4}=210
(
4
10
)
=
210
.
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