Tính nhanh: 5/13x9/14x28/27x26/35
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Ta có
P = x 10 – 13 x 9 + 13 x 8 – 13 x 7 + … - 13 x + 10
= x 10 – 12 x 9 – x 9 + 12 x 8 + x 8 – 12 x 7 – x 7 + 12 x 6 + … + x 2 – 12 x – x + 10 = x 9 ( x – 12 ) – x 8 ( x – 12 ) + x 7 ( x – 12 ) - … + x ( x – 12 ) – x + 10
Thay x = 12 vào P ta được
P = 12 9 . ( 12 – 12 ) – 12 8 ( 12 – 12 ) + 12 7 ( 12 – 12 ) - … + 12 ( 12 – 12 ) – 12 + 10
= 0 + … + 0 – 2 = -2
Vậy P = -2
Đáp án cần chọn là: A
35 x 146 - 7 x 46 x 5 24 x 35 + 35 x 76
= 35 x 146 - 7 x 5 x 46 = 35 x ( 24 + 76 )
= 35 x 146 - 35 x 46 = 35 x 100
= 35 x ( 146 - 46 ) = 3500
= 35 x 100
= 3500
= 35 x ( 146 - 46) / 35 x ( 24 + 76)
= 35 x 100 / 35 x 100
= 1
a: Ta có: x=31
nên x-1=30
Ta có: \(A=x^3-30x^2-31x+1\)
\(=x^3-x^2\left(x-1\right)-x^2+1\)
\(=x^3-x^3+x^2-x^2+1\)
=1
c: Ta có: x=16
nên x+1=17
Ta có: \(C=x^4-17x^3+17x^2-17x+20\)
\(=x^4-x^3\left(x+1\right)+x^2\left(x+1\right)-x\left(x+1\right)+20\)
\(=x^4-x^4-x^3+x^3+x^2-x^2-x+20\)
\(=20-x=4\)
d: Ta có: x=12
nên x+1=13
Ta có: \(D=x^{10}-13x^9+13x^8-13x^7+...+13x^2-13x+10\)
\(=x^{10}-x^9\left(x+1\right)+x^8\left(x+1\right)-x^7\left(x+1\right)+...+x^2\left(x+1\right)-x\left(x+1\right)+10\)
\(=10-x\)
=-2
d: Ta có: x=12
nên x+1=13
Ta có: \(D=x^{10}-13x^9+13x^8-13x^7+...+13x^2-13x+10\)
\(=x^{10}-x^9\left(x+1\right)+x^8\left(x+1\right)-x^7\left(x+1\right)+...+x^2\left(x+1\right)-x\left(x+1\right)+10\)
\(=x^{10}-x^{10}-x^9+x^9+x^8-x^8-x^7+...+x^3+x^2-x^2-x+1+9\)
\(=-x+10=-2\)
35 x 85 + 3 x 5 x 35 - 3250
= 35 x ( 85 + 3 x 5 ) - 3250
= 35 x 100 - 3250
= 3500 - 3250
= 250
Đặt A = \(\frac{5}{3}+\frac{5}{15}+\frac{5}{35}+...+\frac{5}{9900}\)
A = \(\frac{5}{1\times3}+\frac{5}{3\times5}+\frac{5}{5\times7}+...+\frac{5}{99\times100}\)
A : 5 x 2 = \(\frac{2}{1\times3}+\frac{2}{3\times5}+\frac{2}{5\times7}+...+\frac{2}{99\times100}\)
A : 5 x 2 = \(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{99}-\frac{1}{100}\)
A : 5 x 2 = \(\frac{1}{1}-\frac{1}{100}\)
A : 5 x 2 = \(\frac{99}{100}\)
A = \(\frac{99}{100}:2\times5\)
A = \(\frac{99}{40}\)
=4/21 nha ban
4/21 quang oi