23.53 với (2.5)3
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2.25.9+{[2.125-(5x+4).5]:(4.3.5)}=453
50.9+{[350-(5x+4).5]:60}=453
450+{[350-(5x+4).5]:60}=453
[350-(5x+4).5]:60=453-450
[350-(5x+4).5]:60=3
350-(5x+4).5=3.60
350-(5x+4).5=180
350-(5x+4)=180:5
350-(5x+4)=36
5x+4=350-36
5x+4=314
5x=314-4
5x=310
x=310:5
x=62
\(=\dfrac{5^3\cdot2^3+2\cdot5^3+5^3}{55}=\dfrac{5^3\left(2^3+2+1\right)}{55}=5^2=25\)
62 . 10 : { 780 : [ 103 - ( 2 . 53 + 35 . 14 ) ] }
= 360 : { 780 : [ 1000 - ( 250 + 490 ) ] }
= 360 : { 780 : [ 1000 - 740 ] }
= 360 : { 780 : 260 }
= 360 : 3
= 120.
\(\frac{3}{2.5}\)+ \(\frac{3}{5.8}\)+ ...... + \(\frac{3}{92.95}\)= 3 . ( \(\frac{1}{2.5}\)+ \(\frac{1}{5.8}\)+ .... + \(\frac{1}{92.95}\))
= 3 . \(\frac{1}{3}\). ( \(\frac{1}{2.5}\)+ \(\frac{1}{5.8}\)+ ..... + \(\frac{1}{92.95}\))
= 3. \(\frac{1}{3}\). ( \(\frac{1}{2}\)- \(\frac{1}{5}\)+ \(\frac{1}{5}\)- \(\frac{1}{8}\)+ ....... + \(\frac{1}{92}\)- \(\frac{1}{95}\))
= 1 .( \(\frac{1}{2}\)- \(\frac{1}{95}\)) = \(\frac{93}{190}\)
Thấy hay thì cho mình một k nhé!!!
3/ 2.5 + 3/ 5.8 + 3/ 8.11+ ...+ 3/ 92.95
=1/2-1/5+1/5-1/8+1/8-1/11+........+1/92-1/95
=1/2-1/95
=31/60
2.25.9+{[2.125-25.x-20]:(4.3.5)}=453
450 +{[250-25.x -20]:60 }=453
450 +{[230-25.x] :60 }=453
450 +{23/6-13/30x }=453
23/6-5/12x =453-450
46/12-5/12x =3
(46-5x)/12 =3
46-5x =3.12=36
5x =46-36=10
x=2
Mình viết cách ra cho dễ hiểu đó
a, -8 . (-7)
= 8 . 7
= 56
b, (-3)^2 .5
= (-3).(-3).5
= 9 .5
= 45
Cúc bạn hk tốt
Lời giải:
$E=1(1+3)+2(2+3)+...+n(n+3)$
$=\underbrace{(1^2+2^2+...+n^2)}_{M}+\underbrace{3(1+2+3+...+n)}_{N}$
Có:
$M=1^2+2^2+3^2+....+n^2$
$=1(2-1)+2(3-1)+3(4-1)+....+n[(n+1)-1]$
$=1.2+2.3+3.4+...+n(n+1)-(1+2+3+...+n)$
$=1.2+2.3+3.4+...+n(n+1)-\frac{n(n+1)}{2}$
$3M=1.2(3-0)+2.3(4-1)+3.4(5-2)+...+n(n+1)[(n+2)-(n-1)]-\frac{3n(n+1)}{2}$
$3M=[1.2.3+2.3.4+...+n(n+1)(n+2)]-[0.1.2+1.2.3+2.3.4+...+(n-1)n(n+1)]-\frac{3n(n+1)}{2}$
$=n(n+1)(n+2)-\frac{3n(n+1)}{2}$
$\Rightarrow M=\frac{n(n+1)(n+2)}{3}-\frac{n(n+1)}{2}$
$N=3(1+2+...+n)=\frac{3n(n+1)}{2}$
$E=M+N=\frac{n(n+1)(n+2)}{3}-\frac{n(n+1)}{2}+\frac{3n(n+1)}{2}$
$=\frac{n(n+1)(n+2)}{3}+n(n+1)$
\(2^3.5^3=\left(2.5\right)^3\)