Объяснение:
\begin{gathered}(x+2)^{10},\ \ \ n=3\\C_{10}^3x^32^{10-3}=\frac{10!}{(10-3)!*3!} x^32^7=\frac{7!*8*9*10}{7!*1*2*3}x^3*128=120x^3*128=15360x^3.\end{gathered}
(x+2)
10
, n=3
C
10
3
x
3
2
10−3
=
(10−3)!∗3!
10!
x
3
2
7
=
7!∗1∗2∗3
7!∗8∗9∗10
x
3
∗128=120x
3
∗128=15360x
3
.
ответ: 15360.
\begin{gathered}(1-2x)^7\ \ \ \ n=4\\(-2x+1)^7\ \ \ \ n=4\\C_7^4(-2x)^41^{7-4}=\frac{7!}{(7-4)!*4!} 16x^41=\frac{4!*5*6*7}{3!*4!} 16x^4=\frac{5*6*7}{1*2*3}16x^4=\\=5*7*16x^4=35*16x^4=560x^4 .\end{gathered}
(1−2x)
7
n=4
(−2x+1)
7
n=4
C
7
4
(−2x)
4
1
7−4
=
(7−4)!∗4!
7!
16x
4
1=
3!∗4!
4!∗5∗6∗7
16x
4
=
1∗2∗3
5∗6∗7
16x
4
=
=5∗7∗16x
4
=35∗16x
4
=560x
4
.
ответ: 560.
) 40+6 1/9:2 1/17-10/11=42,1
6 1/9:2 1/17=55/9:35/17=55×17:9×35=187/63=
=2 61/63
40 + 2 61/63=42 61/63
42 61/63-10/11= 42 (671-630/693)=
42 41/693=42,1
2. 53,5-14 1/6×1 1/17+8 2/3=29 5/6
14 1/6×1 1/17=85/6×18/17=15
53,5-15=38,5 =38 1/2
38 1/2- 8 2/3= 30 (1/2-2/3)=30 (3-4/6)=
=30 (-1/6)= 29 6/6-1/6=29 5/6
3. 4 5/8:3 1/12+14, 5-9 7/9=6 2/9
4 5/8:3 1/12=36/8:37/12=36×12:8×37=
=54/37=1 17/37
1 17/37+14,5=1,5+14,5=16
16-9 7/9= 15 9/9-9 7/9=6 2/9
4. 10 1/6+2 3/21×14/47-3,2=7,6
2 2/21×14/47=44/21×14/47=88/141 =0,6
10 1/6+0,6=10,2+0,6=10, 8
10,8 -3,2=7,6
1)=x^6-216y^6
2)=0,008a¹²-27b³
3)=0,064m¹²-125n
Пошаговое объяснение: