Tom K. answered 05/19/21
Knowledgeable and Friendly Math and Statistics Tutor
From the binomial theorem,
(3-2x2)12 =
∑k=012 C(12,k)(-2x2)k(3)n-k
Thus, the x6 term comes from k = 3 (2*3=6), and the coefficient is C(12,3)(-2)3(3)12-3 =
-C(12,3)2339 =
-220 * 8 * 19683 =
-34642080
Tom K.
yes. You can find the value of C(12,3) using Pascal's triangle.05/19/21
Brandon L.
So the coefficient would be negative 34642080? Also how does Pascal’s triangle play into this05/19/21