Rút gọn (73+ 2)(76+ 4)(712+ 16)(724+ 256)
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a= 257 x (87+23)
=257 x 100
=25700
b=712 x (25+74)+752
=75200
c=94100
Chuẩn luôn rồi
Học tốt
\(A=\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)....\left(2^{256}+1\right)\)
\(=\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)...\left(2^{256}+1\right)\)
\(=\left(2^4-1\right)\left(2^4+1\right)...\left(2^{256}+1\right)\)
\(=\left(2^8-1\right)\left(2^8+1\right)....\left(2^{256}+1\right)\)
.........................................................
\(=\left(2^{256}-1\right)\left(2^{256}+1\right)\)
\(=\left[\left(2^{256}\right)^2-1^2\right]\)
\(=2^{512}-1\)
a ) x = 19 20 x = 19 20 b ) x = 83 12 x = − 37 12
c ) x = 31 12 x = − 25 12 d ) x = 13 4 x = − 7 12
\(\frac{222}{333}=\frac{2\times111}{3\times111}=\frac{2}{3}=\frac{2\times5}{3\times5}=\frac{10}{15}\)
\(\frac{131313}{151515}=\frac{13\times10101}{15\times10101}=\frac{13}{15}\)
Có \(\frac{10}{15}< \frac{13}{15}\)nên \(\frac{222}{333}< \frac{131313}{151515}\).
\(\frac{16}{18}=\frac{18-2}{16}=1-\frac{2}{16}\)
\(\frac{72}{73}=\frac{73-1}{73}=1-\frac{1}{73}>1-\frac{2}{73}>1-\frac{2}{16}\)
Suy ra \(\frac{72}{73}>\frac{16}{18}\).
Ta có:
\(A=\left(2-1\right)\left(2+1\right)\left(2^2+1\right).....+1\)
\(=\left(2^2-1\right)\left(2^2+1\right)....\left(2^{256}+1\right)\)
\(=\left(2^4-1\right)\left(2^4+1\right)....\left(2^{256}+1\right)\)
\(......\)
\(=\left[\left(2^{256}\right)^2-1\right]+1\)
\(=2^{512}\)
dặt a=(7^3+2)(7^6+4)(7^12+16)(7^24+256)
(7^3-2)a=(7^3-2)(7^3+2)...........................
=>341a=[(7^3)^2-2^2](7^6+4)......
=>341a=(7^6-4)(7^6+4)(7^12+16)(7^24+256)
=>341a=[(7^6)^2-4^2](7^12+16)(7^24+256)
=>341a=(7^12-16)(7^12+16)(7^24+256)
=>341a=[(7^12)^2-16^2](7^24+256)
=>341a=(7^24-256)(7^24+256)
=>341a=(7^24)^2-256^2
làm đến đây bạn tự lấy máy tính tinh nha