Page 158 - Fixtures

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.2x 2 − 1 21 ()
x
()
.2x 2 − 1 12 x 12
x x5 ()

.  x + 2 15 ()
x2 ()
()
.2x 2 − 1 10 ()
x

.(x − 2)(x2 + 1)8

.r n (1 + rx)n = 1 − 12x + 60x2 −

C(n, 0) −C(n,1) +C(n,2) −C(n, 3) + + (−1)nC(n,n) = 0

. n C (n, k )2k ()
()
∑ ()
k=0 ()

∑. n kC(n,k) = n2n−1
k =1

n

∑ (k + 1)C (n,k)
k=0

(x + y + z)12 x 3y5z 4

()

2 × 1 ×C (n, 2) + 3 × 2 ×C (n, 3) + 4 × 3 ×C(n, 4) +

+ n(n − 1)C(n,n) = n (n − 1)2n−2