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\(\frac{x-2}{2}-\frac{1+x}{3}=\frac{4-3x}{4}-1\)
\(\Leftrightarrow\frac{3\left(x-2\right)-2\left(1+x\right)}{6}=\frac{4-3x-4}{4}\)
\(\Leftrightarrow\frac{3x-6-2-2x}{6}=-\frac{3x}{4}\)
\(\Leftrightarrow\frac{x-8}{6}=-\frac{3x}{4}\)
\(\Leftrightarrow4x-32=-18x\)
\(\Rightarrow x=\frac{16}{11}\)

a: UM=AU=2,5/2=1,25cm
VA=VE=AE/2=1,25cm
b: UV=1,25+1,25=2,5cm

\(\frac{x-12}{3}=\frac{x+1}{4}\)
=>(x-12).4=(x+1)*3
4x-48=3x+3
4x-3x=48+3
x=51
(x-12)/3=(x+1)/4
(x-12)*4=(x+1)*3
x*4-12*4=x*3+1*3
4x-48=3x+3
4x-3x=3+48
x=51

\(\frac{\left(2^3\cdot5\cdot7\right)\cdot\left(5^2\cdot7^3\right)}{\left(2\cdot5\cdot7\right)^2}\)
\(=\frac{2^3\cdot5^3\cdot7^4}{2^2\cdot5^2\cdot7^2}\)
\(=2\cdot5\cdot7^2\)
\(=10\cdot49=490\)
\(\frac{\left(2^3.5.7\right).\left(5^2.7^3\right)}{\left(2.5.7\right)^2}\)
\(=\frac{2^3.5^3.7^4}{2^2.5^2.7^2}\)
\(=2.5.7^2\)
\(=\left(2.5\right).7^2\)
\(=10.49\)
\(=490\)

\(a,\dfrac{1}{2}-\dfrac{1}{3}-\left(-\dfrac{5}{4}\right)=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{5}{4}=\dfrac{1\times6-1\times4+5\times3}{12}=\dfrac{6-4+15}{12}=\dfrac{17}{12}\\ b,\dfrac{5}{4}-\dfrac{1}{2}-\dfrac{7}{8}=\dfrac{5\times2-1\times4-7}{8}=\dfrac{10-4-7}{8}=-\dfrac{1}{8}\\ c,\dfrac{1}{5}-\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1\times2-1\times5+9}{10}=\dfrac{2-5+9}{10}=\dfrac{6}{10}=\dfrac{3}{5}\\ d,\dfrac{5}{4}-\dfrac{1}{3}+\dfrac{7}{6}=\dfrac{5\times3-1\times4+7\times2}{12}=\dfrac{15-4+14}{12}=\dfrac{25}{12}\)

1 +( -2) + 3 + (-4) +...+2001 + (-2002) + 2003
= [1 +( -2)] + [3 + (-4)] +...+ [-2000+2001] + [(-2002) + 2003]
= -1 + -1 +............ + 1 + 1
= 0

5 x 53 x 12 + 4 x 15 x 87 - 2 x 8 x 30 = 60 x 53 + 60 x 87 - 60 x 8
= 60 x (53 + 87 - 8)
= 60 x 132
= 6 x 10 x 132
= 792 x 10
= 7920
Chúc bạn hok tốt nha!@##
ko đúng thì thui

100-3(x-1)2=52
3(x-1)2=100-52
3(x-1)2=48
(x-1)2=48:3
(x-1)2=16
(x-1)2=42=(-4)2
=> x-1=4 hoặc x-1=-4
TH1:
x-1=4
x=4+1
x=5
TH2:
x-1=-4
x=-4+1
x=-3
Vậy x=5 hoặc x=-3
100 - 3(x - 1)2 = 52
<=> 3(x - 1)2 = 48
<=> (x - 1)2 = 16
<=> (x - 1)2 = 42 = (-4)2
<=> \(\orbr{\begin{cases}x-1=4\\x-1=-4\end{cases}}\)
<=> \(\orbr{\begin{cases}x=5\\x=-3\end{cases}}\)
Số số hạng trong dãy là:
(39-1):2+1=20 (số)
Tổng:
20 * (39+1):2=400
400 nha bạn.