Write the first three terms of the expansion.
-$( x + 3 ) ^ { 20 }$
A) $x ^ { 20 } + 60 x ^ { 19 } - 1710 x ^ { 18 }$
B) $x ^ { 20 } + 1710 x ^ { 19 } + 1710 x ^ { 18 }$
C) $x ^ { 20 } + 570 x ^ { 19 } + 1710 x ^ { 18 }$
D) $x ^ { 20 } + 60 x ^ { 19 } + 1710 x ^ { 18 }$

Question

Quizplus · Accepted Answer

The first three terms of the expansion of $(x + 3)^{20}$ can be found using the binomial theorem. The first term is $x^{20}$, the second term is $\binom{20}{1}x^{19}(3)^1 = 20 \cdot 3x^{19} = 60x^{19}$, and the third term is $\binom{20}{2}x^{18}(3)^2 = \frac{20 \cdot 19}{2} \cdot 9x^{18} = 1710x^{18}$.

Write the First Three Terms of the Expansion (x+3)20( x + 3 ) ^ { 20 }(x+3)20

Write the First Three Terms of the Expansion $( x + 3 ) ^ { 20 }$