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Multiply out (1 + x + x²)³. Adding only the… | StemPy Lab
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Multiply out (1 + x + x²)³. Adding only the coefficients of x⁰, x², x⁴, x⁶ gives
Mathematics
Medium
High School (11–12)
Algebra › Binomial Theorem
Algebra › Polynomials
A-Level
IB
Created by
StemPy Lab
Multiply out
(
1
+
x
+
x
2
)
3
(1 + x + x^{2})^{3}
(
1
+
x
+
x
2
)
3
. Adding only the coefficients of
x
0
,
x
2
,
x
4
,
x
6
x^0, x^2, x^4, x^6
x
0
,
x
2
,
x
4
,
x
6
gives
28
28
28
27
27
27
14
14
14
13
13
13
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← In the expansion of (1 + x)ⁿ, three consecutive coefficients are in the ratio 1 : 2 : 3. Then n is
Add up 1 · ¹²C₀ + 2 · ¹²C₁ + … + 13 · ¹²C₁₂. The total is →
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Algebra › Polynomials
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