Page 150 - Fixtures

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(1 − 2x)5 = C (5, 0)(1)5 + C (5,1)14(−2x)1 + C(5,2)13(−2x)2

+ C (5, 3)12(−2x)3 + C (5, 4)1(−2x)4 + C (5, 5)(−2x)5

= 1 − 10x + 40x 2 − 80x 3 + 80x 4 − 32x 5

x 3 , .(x + 2x2)2 = x2 + 4x 3 + 4x4 ,

. 4x 3 ,−10x 3 (x + 2x2)2(1 − 2x)5

.−6 x 3 .−10x 3 + 4x 3 = −6x 3

n + 1 (x + y)n

Tk +1 = C (n,k)x n−kyk

.  3x − 4 14 ()
x2

.Tk +1 = C (14,k)(3x)14−k  −4 k
x2

k =6

.T7 = C (14, 6)(3x )8  −4 6 = 38 × 46 ×C (14, 6)x −4
x2

.  x 2 + 4 12 x6 ()
x

.Tk +1 = C (12, k )(x 2 )12−k  4 k = C (12,k)× 4k × x 24−3k
x