So sánh A va B ma khong tính gia tri biet A= 2016*2016 va B =2015*2017
Những câu hỏi liên quan
So sanh a va b ma khong tinh gia tri cua a va b
A=2016×2018 ; B = 2017× 2017
Ai lam đung minh se tich cho😙😙😙😙😙😙
Ta có :
\(A=2016.2018\)
\(\Rightarrow A=2016\left(2017+1\right)\)
\(\Rightarrow A=2016.2017+2016\)
Ta lại có :
\(B=2017.2017\)
\(\Rightarrow B=2017.\left(2016+1\right)\)
\(\Rightarrow B=2017.2016+2017\)
Ta thấy: \(2017>2016\)
\(\Rightarrow2017.2016+2017>2017.2016+2016\)
\(\Rightarrow B>A\)
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so sánh 2 p/s A=2015/2016+2016/2017+2017/2018 va B=2015+2016+2017/2016+2017+2018
Ta có \(B=\frac{2015+2016+2017}{2016+2017+2018}\)
\(\Leftrightarrow B=\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
Vì
\(\frac{2015}{2016}>\frac{2015}{2016+2017+2018};\frac{2016}{2017}>\frac{2016}{2016+2017+2018};\frac{2017}{2018}>\frac{2017}{2016+2017+2018}\) nên \(\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}>\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
Hay \(A>B\)
So sánh: a> A= 2015+2016 / 2016+2017 và B= 2015 / 2016 + 2016 / 2017
b> M=2015^35+1 / 2015^34+1 va N= 2015^34+1 / 2015^33+1
c> P= 2015^99+5 / 2015^99-1 va Q= 2015^99 +1 /2015^99
\(A=\frac{2015+2016}{2016+2017}=\frac{2015}{2016+2017}+\frac{2016}{2016+2017}\)
\(B=\frac{2015}{2016}+\frac{2016}{2017}\)
vì \(\frac{2015}{2016+2017}<\frac{2015}{2016}\)và \(\frac{2016}{2016+2017}<\frac{2016}{2017}\)
nên A <B
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So sanh A=2016^2016+1/2016^2017+1 va B=2016^2015+1/2016^2015+1
so sanh a va b a=2014+2015/2015+2016vab=2015+2016/2016+2017
Giải:
Ta có:
\(A=\frac{2014+2015}{2015+2016}=\frac{2014+2015+2}{2015+2016}-\frac{2}{2015+2016}=2-\frac{2}{2015+2016}\)(1)
\(B=\frac{2015+2016}{2016+2017}=\frac{2015+2016+2}{2016+2017}-\frac{2}{2016+2017}=2-\frac{2}{2016+2017}\)(2)
Từ (1) và (2) ta có: \(A=2-\frac{2}{2015+2016}\)và \(B=2-\frac{2}{2016+2017}\)
Vì \(\frac{2}{2015+2016}>\frac{2}{2016+2017}\rightarrow2-\frac{2}{2015+2016}< 2-\frac{2}{2016+2017}\)
\(\Rightarrow A< B\)
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So sánh A= A=(26^2017+3^2017)^2016 va B=(26^2016+3^2016)^2017
Ta có : A= ( 26^2017 + 3^2017 )^2016 = 26^2017*2016 + 3^2017*2016 (1) ; B = ( 26^2016+ 3^2016)^2017= 26^2016*2017+ 3^2016*2017 (2) . Từ (1) và (2) suy ra dpcm
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So sanh A va B biet
A=2017^100/1+2017+2017^2+2017^3+.....+2017^100
B=2016^100/1+2016+2016^2+2016^3+.....+2016^100
so sánh hai phân số 2015/2016 va 2016/2017
2015/2016 < 2016/2017 tick đúng nha duong khanh thu 
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so sanh
\(\frac{-2015}{2016}va\frac{-2016}{2017}\)(khong quy dong mau so)
Ta có:
\(\frac{-2015}{2016}=-1+\frac{1}{2016}\)
\(\frac{-2016}{2017}=-1+\frac{1}{2017}\)
Vì \(\frac{1}{2016}>\frac{1}{2017}\) nên \(-1+\frac{1}{2016}>-1+\frac{1}{2017}\)
\(\Rightarrow\frac{-2015}{2016}>\frac{-2016}{2017}\)
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