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7 x 85 + 15 x 17 - 700
= ( 85 + 15 ) x ( 17 - 7 ) x 700
= 100 x 10 x 700
= 1000 x 700
= 700000
Học tốt!!!
Bài làm:
Ta có: \(7.85+15.17-700\)
\(=5\left(7.17+3.17\right)-700\)
\(=5.10.17-700\)
\(=850-700\)
\(=150\)
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5/7-4/19+2/7-15/19-1999/2006=(5/7+2/7)-(4/19+15/19)-1999/2006
=1-1-1999/2006=0-1999/2006=-1999/2006
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\(2\left|x-1\right|+3\left(x+2\right)=3^2\)
\(2\left|x-1\right|+3x+6=9\)
\(2\left|x-1\right|=9-3x-6\)
\(2\left|x-1\right|=3-3x\)
\(\left|x-1\right|=\frac{3-3x}{2}\)
\(\Rightarrow\orbr{\begin{cases}x-1=\frac{3-3x}{2}\\x-1=-\frac{3-3x}{2}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{3-3x}{2}+\frac{2}{2}\\x=\frac{-3+3x}{2}+\frac{2}{2}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{3-3x+2}{2}\\x=\frac{-3+3x+2}{2}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{5-3x}{2}\\x=\frac{-1+3x}{2}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x=5-3x\\2x=-1+3x\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}5x=5\\x=1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=1\end{cases}}\)
\(\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=2^3=8\)