(19x-18):4-3=2
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LH
3
10 tháng 6 2016
A=4(3^2+1)(3^4+1)(3^8+1)...(3^64+1)
2A=8(3^2+1)(3^4+1)(3^8+1)...(3^64+1)
2A=(3^2-1)(3^2+1)(3^4+1)(3^8+1)...(3^64+1)
2A=(3^4-1)(3^4+1)(3^8+1)...(3^64+1)
2A=(3^8-1)(3^8+1)....(3^64+1)
2A=(3^16-1)...(3^64+1)
......
2A=(3^64-1)(3^64+1)
2A=3^128-1
A=(3^128-1)/2
=> A>B
10 tháng 6 2016
\(A=4\left(3^2+1\right)\left(3^4+1\right)...\left(3^{64}+1\right)\)
\(\Leftrightarrow4A=\left(3^2-1\right)\left(3^2+1\right)...\left(3^{64}+1\right)\)
\(\Leftrightarrow4A=\left(3^4-1\right)\left(3^4+1\right)...\left(3^{64}+1\right)\)
\(\Leftrightarrow4A=\left(3^8-1\right)\left(3^8+1\right)...\left(3^{64}+1\right)\)
\(\Leftrightarrow4A=\left(3^{16}-1\right)\left(3^{16}+1\right)...\left(3^{64}+1\right)\)
\(\Leftrightarrow4A=\left(3^{32}-1\right)\left(3^{32}+1\right)\left(3^{64}+1\right)\)
\(\Leftrightarrow4A=\left(3^{64}-1\right)\left(3^{64}+1\right)\Leftrightarrow4A=3^{128}-1\Leftrightarrow A=\frac{3^{128}-1}{4}\)
Ta có \(\frac{3^{128}-1}{4}< 3^{128}-1\Rightarrow A< B\)
Lâm Huyền:Bạn sai đề rồi B phải là 3128-1 chứ !
NN
Nguyễn Ngọc Anh Minh
CTVHS
VIP
23 tháng 9 2016
a/
\(\left(-\frac{1}{16}\right)^{1000}=\left(-\frac{1}{2^4}\right)^{1000}=\left(-\frac{1}{2}\right)^{4000}.\)
Do \(\left(\frac{1}{2}\right)^{4000}>\left(\frac{1}{2}\right)^{5000}\Rightarrow\left(-\frac{1}{2}\right)^{4000}< \left(-\frac{1}{2}\right)^{5000}\Rightarrow\left(-\frac{1}{16}\right)^{1000}< \left(-\frac{1}{2}\right)^{5000}\)
b/
\(3^{400}=\left(3^4\right)^{100}=81^{100}\)
\(4^{300}=\left(4^3\right)^{100}=64^{100}\)
\(\Rightarrow81^{100}>64^{100}\Rightarrow3^{400}>4^{300}\)
28 tháng 10 2022
b: \(=x^3-25x+6x-30=\left(x-5\right)\left(x^2+5x+6\right)\)
\(=\left(x-5\right)\left(x+2\right)\left(x+3\right)\)
c: \(=x^3-x-6x-6=x\left(x-1\right)\left(x+1\right)-6\left(x+1\right)\)
\(=\left(x+1\right)\left(x^2-x-6\right)\)
\(=\left(x+1\right)\left(x-3\right)\left(x+2\right)\)
d: \(=x^4+4y^4+4x^2y^2-4x^2y^2\)
\(=\left(x^2+2y^2\right)^2-4x^2y^2\)
\(=\left(x^2-2xy+2y^2\right)\left(x^2+2xy+2y^2\right)\)
e: \(=\left(x^2+x\right)^2+3\left(x^2+x\right)-10\)
\(=\left(x^2+x+5\right)\left(x^2+x-2\right)\)
\(=\left(x^2+x+5\right)\left(x+2\right)\left(x-1\right)\)
KN
4
C
31 tháng 3 2022
\(3/4 + 2/1 = 3/4 + 8 / 4 = 11/4\)
\(2/3 - 3/8 = 16/24 - 9 / 24 = 7 /24\)
2/9 . 3/8 = 6 /72
18/1 . 3 / 2 = 54 / 2
TN
3
\(\left(19x-18\right):4-3=2\)
\(\Rightarrow\left(19x-18\right):4=5\)
\(\Rightarrow\left(19x-18\right)=20\)
\(\Rightarrow19x-18=20\)
\(\Rightarrow19x=38\)
\(\Rightarrow x=\frac{38}{19}\)
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