Rút gọn biểu thức sau
(20182019+20182018+...+20182+2018)2017+1
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
A = 2017 2018 + 2018 2019 > 2017 2019 + 2018 2019 = 2017 + 2018 2019 > 2017 + 2018 2018 + 2019 = B
A = 2017 2018 + 2018 2019 > 2017 2019 + 2018 2019 = 2017 + 2018 2019 > 2017 + 2018 2018 + 2019 = B
Ta có
A = 2017 2018 + 2018 2019 > 2017 2019 + 2018 2019 = 2018 + 2018 2019
Mà 2017 + 2018 2019 > 2017 + 2018 2018 + 2019 = B
Nên A > B
\(A=\frac{\frac{2017}{1}+\frac{2016}{2}+\frac{2015}{3}+...+\frac{1}{2017}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2018}}\)
\(A=\frac{1+\left(1+\frac{2016}{2}\right)+\left(1+\frac{2015}{3}\right)+...+\left(1+\frac{1}{2017}\right)}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2018}}\)
\(A=\frac{\frac{2018}{2018}+\frac{2018}{2}+\frac{2018}{3}+...+\frac{2018}{2017}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2018}}\)
\(A=\frac{2018\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2017}+\frac{1}{2018}\right)}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2018}}\)
\(A=2018\)
Ta có :
\(A=\frac{\frac{2017}{1}+\frac{2016}{2}+\frac{2015}{3}+...+\frac{1}{2017}}{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2018}}\)
\(A=\frac{\left(\frac{2017}{1}-1-1-...-1\right)+\left(\frac{2016}{2}+1\right)+\left(\frac{2015}{3}+1\right)+...+\left(\frac{1}{2017}+1\right)}{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2018}}\)
\(A=\frac{\frac{2018}{2018}+\frac{2018}{2}+\frac{2018}{3}+...+\frac{2018}{2017}}{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2018}}\)
\(A=\frac{2018\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2018}\right)}{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2018}}\)
\(A=2018\)
Vậy \(A=2018\)
Chúc bạn học tốt ~
a) A = -2a + 3b -4c +2a +3b +4c
A = 6b
b) A = 0a + 6b + 0c
thay a = 2017 , b = -1 , c = -2018 ta có
A= 0*2017 + 6*(-1) + 0*(-2018)
A = 6
k mk nha
a/ A=(-2a+3b-4c)-(-2a-3b-4c)
=-2a+3b-4c+2a+3b+4c
=6b
b/ giá trị của bt tại a=2017;b=-1;c=-2018 là
A=6.(-1)=-6
Vậy giá trị của A tai ...... là -6
a) A= (-2a+3b-4c)-(-2a-3b-4c)
= -2a+3b-4c+2a+3b+4c
= 6b
b) A= 6b=6. (-1)=-6
Khó quá zậy
Nhưng mình bít kết quả rồi
đó là : -1,002482622
\(M=\left(2018^{2019}+2018^{2018}+...+2018^2+2018\right)2017+1\)
Gọi \(A=2018^{2019}+2018^{2018}+...+2018^2+2018\)
\(\Rightarrow2018A=2018^{2020}+2018^{2019}+...+2018^3+2018^2\)
\(\Rightarrow2018A-A=2018^{2020}-2018\)
\(\Rightarrow2017A=2018^{2020}-2018\)
\(\Rightarrow A=\left(2018^{2020}-2018\right)\div2017\)
\(\Rightarrow M=\left(2018^{2020}-2018\right)\div2017.2017+1\)
\(\Rightarrow M=2018^{2020}-2018+1\)
\(\Rightarrow M=2018^{2020}-2017\)