Ta có :
\(\frac{-63^2}{13^2}+\frac{108^2}{13^2}\)
\(=\frac{108^2-63^2}{13^2}\)
\(=\frac{\left(108-63\right)\left(108+63\right)}{13^2}\)
\(=\frac{45.171}{13^2}\)
\(=\frac{7695}{169}\)
1, Tính : P = \(\frac{\frac{1}{2003}+\frac{1}{2004}-\frac{1}{2005}}{\frac{5}{2003}+\frac{5}{2004}-\frac{5}{2005}}-\frac{\frac{2}{2002}+\frac{2}{2003}-\frac{2}{2004}}{\frac{3}{2002}+\frac{3}{2003}-\frac{3}{2004}}\)
2,Biết : 13 + 23 + .......+103 = 3025
Tính S = 23 + 43 + 63 + ....+ 203
1. Tìm x,y biết
\(\left(x-\sqrt{3}\right)^{2016}+\left(y^2-3\right)^{2018}=0\) 2.Tính
\(\frac{75-\frac{6}{13}+\frac{3}{17}-\frac{3}{19}}{275-\frac{22}{13}+\frac{11}{17}-\frac{11}{19}}\) 3. So sánh 1718 và 6312
Rút gọn
B=\(4.\left(\frac{-1}{2}\right)^3:\left(\frac{4}{5}\right)^0.\frac{1}{2}-\frac{\frac{3}{5}-\frac{3}{9}+\frac{3}{13}}{\frac{7}{5}-\frac{7}{9}+\frac{7}{13}}\)
Giải chi tiết nha
\(\frac{2\cdot a+13\cdot b}{3\cdot a-7\cdot b}=\frac{2\cdot c+13\cdot d}{3\cdot c-7\cdot d}\)
CMR \(\frac{a}{b}=\frac{c}{d}\)
Tính : A=\(\frac{\frac{3}{4}-\frac{3}{11}+\frac{3}{13}}{\frac{5}{7}-\frac{5}{11}+\frac{5}{13}}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}}{\frac{5}{4}-\frac{5}{6}+\frac{5}{8}}\)
Tính :
a ) \(A=\frac{\frac{1}{11}-\frac{1}{13}-\frac{1}{17}}{\frac{5}{11}-\frac{5}{13}-\frac{5}{17}}+\frac{\frac{2}{3}-\frac{2}{9}-\frac{2}{27}+\frac{2}{81}}{\frac{7}{3}-\frac{7}{9}-\frac{7}{27}+\frac{7}{81}}\)
b ) \(B=\frac{5^2}{11.16}+\frac{5^2}{16.21}+\frac{5^2}{21.26}+\frac{5^2}{26.31}+...+\frac{5^2}{56.61}\)
c ) \(C=-1-\frac{1}{3}-\frac{1}{6}-\frac{1}{10}-\frac{1}{15}-...-\frac{1}{1225}\)
Cố giúp mk nha mai mk nộp rùi đó 
Tính.
\(\frac{\frac{3}{7}-\frac{3}{11}+\frac{3}{13}}{\frac{5}{7}-\frac{5}{11}+\frac{5}{13}}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}}{\frac{5}{4}-\frac{5}{6}+\frac{5}{8}}\)
giúp m nha !!!
tính\(\left[\frac{\left(4,6+5.6,25\right).14}{4.0,125+2,3}:\frac{17}{6}\right]:\frac{27.9\frac{3}{5}}{12,4+4\frac{2}{5}}+\left(4\frac{5}{8}-\frac{13}{6}:8\frac{2}{3}\right):\left(3,25:2\frac{1}{4}\right)\)
tính:
B=\(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+........+\frac{1}{2^{10}}\)
C=\(\frac{4^{20}+4^{29}}{8^{13}+8^{15}}\)