Bạn dựa vào công thức
a2 - n2 = (a + n)(a - n)
Bạn dựa vào công thức
a2 - n2 = (a + n)(a - n)
a) tìm các Ư
\(Ư\left(12^2\right)\)
\(Ư\left(18^2\right)\)
\(Ư\left(24^2\right)\)
\(Ư\left(32^2\right)\)
\(Ư\left(36^2\right)\)
\(Ư\left(48^2\right)\)
\(Ư\left(50^2\right)\)
\(Ư\left(60^2\right)\)
\(Ư\left(64^2\right)\)
\(Ư\left(72^2\right)\)
\(Ư\left(90^2\right)\)
\(Ư\left(96^2\right)\)
\(Ư\left(100^2\right)\)
b) tìm các \(ƯC\) ở câu a
Tìm \(\dfrac{\left(\left(4\right)^{-2}:\left(\dfrac{1}{3}\right)^2\right)\dfrac{^1}{2}}{\left(-\dfrac{1}{6}\right)^2}\)
A. 36 B.27 C. 48 D.- 36 E.-27
\(\left(\frac{2}{3}-1\right)\times\left(\frac{2}{5}-1\right)\times\left(\frac{2}{7}-1\right)\times...\times\left(\frac{2}{27}-1\right)\times\left(\frac{2}{29}-1\right)\)
Tính:
\(\left(30^2+28^2+29^2+....+4^2+2^2\right)-\left(29^2+27^2+25^2+....+3^2+1^2\right)\)
Thực hiện các phép tính (tính nhanh nhất nếu có thể):
\(A,\)\(2^2.5-\left(1^{10}+8\right):3^2\)
\(B, 5^8:5^6+4.(3^2-1)\)
\(C,\)\(400-\left\{36-20:\left[3^3-\left(8-3\right)\right]\right\}\)
Tìm x liên quan đến lũy thừa:
1, \(\left(3x-\dfrac{1}{5}\right)^2=\left(\dfrac{-3}{25}\right)^2\)
2, \(\left(2x-\dfrac{1}{3}\right)^2=\left(\dfrac{-2}{9}\right)^2\)
3, \(\left(\dfrac{1}{3}-x\right)^2=\dfrac{9}{25}\)
4, \(\left(5-x\right)^2=25\)
Tính nhanh
1, \(10\frac{5}{4}-4\frac{9}{14}-6\frac{5}{7}+\frac{7}{3}\)
2, \(\frac{29}{32}\left(\frac{41}{36}-\frac{32}{58}\right)-\frac{41}{36}\left(\frac{29}{32}+\frac{18}{41}\right)\)
Tính:
\(\left(\frac{\left(6-4\frac{1}{2}\right):0,03}{\left(3\frac{1}{20}-2,65\right).4+\frac{2}{5}}-\frac{\left(0,3-\frac{3}{20}\right).1\frac{1}{2}}{\left(1,88+2\frac{3}{25}\right).\frac{1}{80}}\right):\frac{49}{60}\)
12)\(0,2.\frac{15}{36}-\left(\frac{2}{5}+\frac{2}{3}\right):1\frac{1}{5}\)
13)\(1\frac{13}{15}.0,75-\left(\frac{8}{15}+0,25\right).\frac{24}{27}\)
16)\(\frac{1}{2}+\frac{3}{4}-\left(\frac{3}{4}-\frac{4}{5}\right).\left(-2,75\right)\)
18)\(\left(\frac{7}{8}-\frac{3}{4}\right).1\frac{1}{3}-\frac{2}{7}.\left(3.5\right)^2\)
22)\(1\frac{13}{15}.0,75-\left(\frac{11}{20}+25\%\right):\frac{7}{3}\)
23)\(\frac{\left(\frac{2}{3}-0,75\right).\left(0,2-\frac{2}{5}\right)}{\frac{5}{9}-1\frac{1}{12}}\)
33)\(\left(25\%+\frac{1}{3}+0,75\right):\left(4\frac{3}{4}-3\frac{1}{2}\right)\)
35)\(\left(\frac{377}{-231}-\frac{123}{89}+\frac{34}{791}\right).\left(\frac{1}{6}-\frac{1}{8}-\frac{1}{24}\right)\)