Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a: \(A=1-\dfrac{2\left(25-\dfrac{2}{2018}+\dfrac{1}{2019}-\dfrac{1}{2020}\right)}{4\left(25-\dfrac{2}{2018}+\dfrac{1}{2019}-\dfrac{1}{2020}\right)}\)
=1-2/4=1/2
b: \(B=\dfrac{5^{10}\cdot7^3-5^{10}\cdot7^4}{5^9\cdot7^3+5^9\cdot7^3\cdot2^3}\)
\(=\dfrac{5^{10}\cdot7^3\left(1-7\right)}{5^9\cdot7^3\left(1+2^3\right)}=5\cdot\dfrac{-6}{9}=-\dfrac{10}{3}\)
c: x-y=0 nên x=y
\(C=x^{2020}-x^{2020}+y\cdot y^{2019}-y^{2019}\cdot y+2019\)
=2019
1-2+3-4+5-6+7-8+...+2017-2018
=-1+-1+-1+...+-1
= -1. 1009
= -1009
a bn tự lm nha mk lm đỡ bn phần b
b=1.99+1.98+3.97+...+98.2+99.1
= 1.99+2.(99-1)+3.(99-2)+...+98.(99-97)+99.(99-98)
= 1.99+2.99-1.2+3.99-2.3+...98.99-97.98+99.99-99.98
=(1.99+2.99+3.99+...+98.99+99.99)-(1.2+2.3+...+98.99)
=99.(1+2+3+...+98+99)-(1.2+2.3+...+98.99)
=99.4950-(1.2+2.3+...+98.99)
=490050-(1.2+2.3+...+98.99)
b=1.2+2.3+...+98.99
3b=1.2.3+2.3.3+...+98.99.3
3b=1.2.3+2.3.(4-1)+...+98.99.(100-97)
3b=1.2.3+2.3.4+2.3.1+...+98.99.100+98.00.97
3b=490050-(98.99.100):3
b=490050-323400
b=166650
tk mk nha
=1.99+2.(99-1)+3.(99-2)+...+98.(99-97)+99(99-98)
=99.(1+2+3+4+...+98+99)-(2+2.3+3.4+...+97.98+98.99)
=99.(1+99).99/2-98.99.100/3
=99.50.99-98.33.100
=490050-323400
=166650
Đặt A=1+2^2+2^4+2^6+2^8+........+2^2018 (1)
\(\Rightarrow\)2A=2+2^4+2^6+2^8+2^10+...+2^2019 (2)
Lấy (2) trừ (1): 2A-A= 2^2019 -1
\(\Rightarrow\)A= 2^2019 -1