15/9x13/9-12/7+44/5=?? giúp mik vs
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...=-15-9=-24
...=4+7=11
...=-12-13=-25
...=13+10=23
...=-4-7=-11
...=-9+13=4
...=12+0=12
...=0-7=-7
...=0+3=3
...=15-17=-2
...=-6
...=-23
...=15-15=0
\(a,=\frac{7-1}{1.3.7}+\frac{9-3}{3.7.9}+\frac{13-7}{7.9.13}+\frac{15-9}{9.13.15}\)\(+\frac{19-13}{13.15.19}\)
\(=\frac{1}{1.3}-\frac{1}{3.7}+\frac{1}{3.7}-\frac{1}{7.9}+\frac{1}{7.9}-\frac{1}{9.13}+\frac{1}{9.13}-\frac{1}{13.15}+\frac{1}{13.15}-\frac{1}{15.19}\)
\(=\frac{1}{1.3}-\frac{1}{15.19}=\frac{95}{285}-\frac{1}{285}=\frac{94}{285}\)
\(b,=\frac{1}{6}.\left(\frac{6}{1.3.7}+\frac{6}{3.7.9}+\frac{6}{7.9.13}+\frac{6}{9.13.15}+\frac{6}{13.15.19}\right)\)
làm giống như trên
\(c,=\frac{1}{8}.\left(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{48.49.50}\right)\)
\(=\frac{1}{16}.\left(\frac{2}{1.2.3}+\frac{2}{2.3.4}+\frac{2}{3.4.5}+...+\frac{2}{48.49.50}\right)\)
\(=\frac{1}{16}.\left(\frac{3-1}{1.2.3}+\frac{4-2}{2.3.4}+\frac{5-3}{3.4.5}+...+\frac{50-48}{48.49.50}\right)\)
\(=\frac{1}{16}.\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+\frac{1}{3.4}-\frac{1}{4.5}+...+\frac{1}{48.49}-\frac{1}{49.50}\right)\)
\(=\frac{1}{16}.\left(\frac{1}{2}-\frac{1}{2450}\right)=\frac{1}{16}.\left(\frac{1225}{2450}-\frac{1}{2450}\right)=\frac{153}{4900}\)
\(d,=\frac{5}{7}.\left(\frac{7}{1.5.8}+\frac{7}{5.8.12}+\frac{7}{8.12.15}+...+\frac{7}{33.36.40}\right)\)
\(=\frac{5}{7}.\left(\frac{8-1}{1.5.8}+\frac{12-5}{5.8.12}+\frac{15-8}{8.12.15}+...+\frac{40-33}{33.36.40}\right)\)
\(=\frac{5}{7}.\left(\frac{1}{1.5}-\frac{1}{5.8}+\frac{1}{5.8}-\frac{1}{8.12}+\frac{1}{8.12}-\frac{1}{12.15}+...+\frac{1}{33.36}-\frac{1}{36.40}\right)\)
\(=\frac{5}{7}.\left(\frac{1}{5}-\frac{1}{1440}\right)=\frac{5}{7}.\left(\frac{288}{1440}-\frac{1}{1440}\right)=\frac{41}{288}\)
P/S: . là nhân nha
K2O: oxit bazơ: kali oxit
BaO: oxit bazơ: bari oxit
Li2O: oxit bazơ: liti oxit
CuO: oxit bazơ: đồng (II) oxit
FeO: oxit bazơ: sắt (II) oxit
Fe2O3: oxit bazơ: sắt (III) oxit
Fe3O4: oxit bazơ: sắt từ oxit
Al2O3: oxit lưỡng tính: nhôm oxit
PbO: oxit bazơ: chì (II) oxit
MgO: oxit bazơ: magie oxit
SO3: oxit axit: lưu huỳnh trioxit
N2O: oxit trung tính: đinitơ oxit
P2O5: oxit axit: điphotpho pentaoxit
CO2: oxit axit: cacbon đioxit
N2O3: oxit axit: đinitơ trioxit
c: \(=\dfrac{4}{9}\left(\dfrac{5}{7}+\dfrac{2}{5}+\dfrac{2}{7}-\dfrac{7}{5}\right)=\dfrac{4}{9}\cdot\left(1-1\right)=0\)
d: \(=\dfrac{4-3-1}{12}\cdot\left(\dfrac{67}{111}+\dfrac{2}{33}-\dfrac{15}{117}\right)=0\cdot\left(\dfrac{67}{111}+\dfrac{2}{33}-\dfrac{15}{117}\right)=0\)
( - 43 ) - 26
= ( - 69 )
123 + ( - 123 )
= 123 - 123
= 0
( - 56 ) + / - 32 /
= ( -56 ) + 32
= ( -24 )
13 + /-13/
= 13 + 13
= 26
/ - 4 / + / + 15/
= 4 + 15
= 19
( - 5 ) + (- 9) + (-11) + 5
= ( -14 ) + ( -11 ) + 5
= ( -25 ) + 5
= ( -20 )
(-8 ) + (- 13 ) + ( - 54 ) + (-67)
= ( -21 ) + ( -54 ) + ( -67 )
= ( -75 ) + ( -67 )
= ( -142 )
- 15 - 9 - 11 - 24
= -24 - 11 - 24
= -35 - 24
= ( -59 )
#Chúc em học tốt
34 + (- 43 ) + 66 - 57
= ( -9 ) + 66 - 57
= 57 - 57
= 0
/ - 8 / + / -4 / - ( - 12 ) + 5
= 8 + 4 + 12 + 5
= 12 + 12 + 5
= 24 + 5
= 29
12 + 38 - 30 - 22
= 50 - 30 - 22
= 20 - 22
= ( -2 )
56 + (-32) - 51 + 44 - 17
= 56 - 32 - 51 + 44 - 17
= 24 - 51 + 44 - 17
= ( -27 ) + 44 - 17
= 17 - 17
= 0
#Chúc em học tốt
=>\(5\cdot\dfrac{3\sqrt{x-3}}{5}-7\cdot\dfrac{2\sqrt{x-3}}{3}-7\cdot\sqrt{x^2-9}+18\cdot\sqrt{\dfrac{9}{81}\left(x^2-9\right)}=0\)
=>\(3\cdot\sqrt{x-3}-\dfrac{14}{3}\sqrt{x-3}=7\cdot\sqrt{x^2-9}-18\cdot\dfrac{3}{9}\cdot\sqrt{x^2-9}\)
=>\(-\dfrac{5}{3}\sqrt{x-3}=\sqrt{x^2-9}\)
=>\(\sqrt{x-3}\left(\sqrt{x+3}+\dfrac{5}{3}\right)=0\)
=>x-3=0
=>x=3
\(=\dfrac{195}{81}-\dfrac{12}{7}+\dfrac{44}{5}=\dfrac{8971}{945}\)