Write the first three terms of the expansion.
-$( x - 3 ) ^ { 17 }$
A) $x ^ { 17 } + 51 x ^ { 16 } - 1224 x ^ { 15 }$
B) $x ^ { 17 } - 51 x ^ { 16 } + 1224 x ^ { 15 }$
C) $x ^ { 17 } - 51 x ^ { 16 } - 1224 x ^ { 15 }$
D) $x ^ { 17 } + 51 x ^ { 16 } + 1224 x ^ { 15 }$

Question

Quizplus · Accepted Answer

The first three terms of the expansion of $(x - 3)^{17}$ using the binomial theorem are $x^{17}$, $-51x^{16}$ (from $17 \choose 1$ $\times$ $x^{16}$ $\times$ $(-3)^1$), and $+1224x^{15}$ (from $17 \choose 2$ $\times$ $x^{15}$ $\times$ $(-3)^2$).

Write the First Three Terms of the Expansion (x−3)17( x - 3 ) ^ { 17 }(x−3)17

Write the First Three Terms of the Expansion $( x - 3 ) ^ { 17 }$