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(145*99+145)-(143*101+143) = 145*100 - 143*100 - 2*143 =100*(145-143) - 286 = 200 - 286 = -86
=[145*99+145*1]-[143101*1]=145*[99+1]-145*[101-1]=145*100-143*100=100*[145-143]=100*2=200 mình chắc chắn 100 phần trăm
\(A=\frac{5-2}{2x5}+\frac{8-5}{5x8}+\frac{11-8}{8x11}+...+\frac{20-17}{17x20}=\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{17}-\frac{1}{20}\)
\(A=\frac{1}{2}-\frac{1}{20}=\frac{9}{20}\)
\(a,\dfrac{3}{2}\times\dfrac{4}{5}\times\dfrac{2}{3}\times\dfrac{15}{4}\\ =\dfrac{3\times4\times2\times15}{2\times5\times3\times4}\\ =\dfrac{3\times4\times2\times5\times3}{2\times5\times3\times4}\\ =3\)
\(b,\dfrac{6}{7}\times\dfrac{5}{8}\times\dfrac{7}{3}\times\dfrac{7}{6}\times\dfrac{8}{5}\\ =\dfrac{6\times5\times7\times7\times8}{7\times8\times3\times6\times5}\\ =\dfrac{7}{3}\)
a) \(\dfrac{3}{2}\times\dfrac{4}{5}\times\dfrac{2}{3}\times\dfrac{15}{4}\)
\(=\left(\dfrac{3}{2}\times\dfrac{2}{3}\right)\times\left(\dfrac{4}{5}\times\dfrac{15}{4}\right)\)
\(=1\times3\)
\(=3\)
b) \(\dfrac{6}{7}\times\dfrac{5}{8}\times\dfrac{7}{3}\times\dfrac{7}{6}\times\dfrac{8}{5}\)
\(=\left(\dfrac{6}{7}\times\dfrac{7}{6}\right)\times\left(\dfrac{5}{8}\times\dfrac{8}{5}\right)\times\dfrac{7}{3}\)
\(=1\times1\times\dfrac{7}{3}\)
\(=\dfrac{7}{3}\)
Chúc bạn học tốt
Đặt \(A=\frac{240\cdot50+48\cdot50}{42\cdot37+21\cdot126}=\frac{48\cdot5\cdot50+48\cdot50}{21\cdot2\cdot37+21\cdot126}\)
\(\Rightarrow A=\frac{48\cdot250+48\cdot50}{21\cdot74+21\cdot126}=\frac{48\cdot\left(250+50\right)}{21\cdot\left(74+126\right)}\)
\(\Rightarrow A=\frac{48\cdot300}{21\cdot300}=\frac{48}{21}=\frac{16}{7}\)