RÚT GON: A = 5 + 5^2+5^3+...+5^2015
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\(C=12\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=\frac{1}{2}\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=\frac{1}{2}\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=\frac{1}{2}\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=\frac{1}{2}\left(5^{16}-1\right)\left(5^{16}+1\right)\)
\(=\frac{1}{2}\left(5^{32}-1\right)\)
\(=\frac{5^{32}-1}{2}\)
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(2x+3)2-(2x+5)2
= 4x2+12x+32-4x2+20x+52
=12x+9-12x-8x-25
=9-8x-25
=(-16)-8x
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TL
\(\frac{3}{15}\)-\(\frac{5}{35}\)=\(\frac{1}{5}\)\(-\frac{1}{7}\)=\(\frac{2}{35}\)
\(\frac{18}{27}\)-\(\frac{2}{6}\)=\(\frac{2}{3}\)-\(\frac{1}{3}\)=\(\frac{1}{3}\)
nha bn
HT
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A. \(\frac{2}{5}\div\frac{2}{3}=\frac{2}{5}\times\frac{3}{2}=\frac{2\times3}{5\times2}=\frac{3}{5}\text{ }\)
B. \(\frac{4}{7}\div\frac{4}{5}=\frac{4}{7}\times\frac{5}{4}=\frac{4\times5}{7\times4}=\frac{5}{7}\)
C. \(\frac{1}{6}\div\frac{1}{3}=\frac{1}{6}\times\frac{3}{1}=\frac{3}{6}=\frac{1}{2}\)
D. \(\frac{1}{4}\div\frac{1}{8}=\frac{1}{4}\times\frac{8}{1}=\frac{8}{4}=2\)
A=5+5^2+5^3+....+5^2016
5A=5^2+5^3+...+5^2017
=>5A-A=4A=(5^2+5^3+...+5^2017)-(5+5^2+...+5^2016)=5^2017-1
A=\(\frac{5^{2017-1}}{4}\)
lấy 5A - A hình như thế thì phải