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=23 x (58-30) + 28 x 77
=23 x 28 +28 x 77
=28 x (23+77)
=28 x 100
=2800
học tốt bạn nhé
bài này là dạng nâng cao về toán tính nhanh, mik nghĩ là ẽ ít bạn trả lời đc
a) \(\dfrac{\dfrac{2}{3}+\dfrac{2}{5}-\dfrac{2}{9}}{\dfrac{4}{3}+\dfrac{4}{5}-\dfrac{4}{9}}\)
\(=\dfrac{2\left(\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{1}{9}\right)}{4\left(\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{1}{9}\right)}=\dfrac{2}{4}=\dfrac{1}{2}\)
b) \(\dfrac{\dfrac{3}{4}+\dfrac{3}{7}-\dfrac{3}{8}}{\dfrac{5}{4}+\dfrac{5}{7}-\dfrac{5}{8}}+1\)
\(=\dfrac{3\left(\dfrac{1}{4}+\dfrac{1}{7}-\dfrac{1}{8}\right)}{5\left(\dfrac{1}{4}+\dfrac{1}{7}-\dfrac{1}{8}\right)}+1\)
\(=\dfrac{3}{5}+1=\dfrac{8}{5}\)
c) \(\dfrac{4+\dfrac{4}{73}-\dfrac{4}{115}}{5+\dfrac{5}{73}-\dfrac{5}{115}}\)
\(=\dfrac{4\left(1+\dfrac{1}{73}-\dfrac{1}{115}\right)}{5\left(1+\dfrac{1}{73}-\dfrac{1}{115}\right)}=\dfrac{4}{5}\)
b) \(B=\dfrac{2^{10}\cdot52+2^{12}\cdot65}{2^{11}\cdot52}+\dfrac{\left(-3\right)^{10}\cdot11+3^9\cdot15}{3^8\cdot2^3\cdot6}\)
\(B=\dfrac{2^{10}\cdot2^2\cdot13+2^{12}\cdot5\cdot13}{2^{11}\cdot13\cdot2^2}+\dfrac{\left(-3\right)^{10}\cdot11+3^9\cdot3\cdot5}{3^8\cdot2^3\cdot2\cdot3}\)
\(B=\dfrac{2^{12}\cdot13+2^{12}\cdot13\cdot5}{2^{13}\cdot13}+\dfrac{3^{10}\cdot11+3^{10}\cdot5}{3^9\cdot2^4}\)
\(B=\dfrac{2^{12}\cdot13\cdot\left(1+5\right)}{2^{13}\cdot13}+\dfrac{3^{10}\cdot\left(11+5\right)}{3^9\cdot2^4}\)
\(B=\dfrac{1+5}{2}+\dfrac{3\cdot16}{2^4}\)
\(B=3+3\)
\(B=6\)
\(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\Rightarrow\left(2x-15\right)^5-\left(2x-15\right)^3=0\)
\(\Rightarrow\left(2x-15\right)^3\left[\left(2x-15\right)^2-1\right]=0\)
\(\Rightarrow\left(2x-15\right)^3\left(2x-15-1\right)\left(2x-15+1\right)=0\)
\(\Rightarrow\left(2x-15\right)^3\left(2x-16\right)\left(2x-14\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}2x-15=0\\2x-16=0\\2x-14=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=15\\2x=16\\2x=14\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\x=8\\x=7\end{matrix}\right.\)
D=(2-1)+(4-3)+....+(100-99)
D=1+1+1+...+1 ( 50 CẶP)
D=1x50
D=50
= 100+ 98 + 96+....+ 2- ( 1+ 3+...+ 95+ 97+ 99)
= (100+2) x 50: 2- ( 99+1) x 50 :2
= 102 x 25 - 100 x 25
= 25 x (102- 100)
= 25 x 2
=50
Bài 9:
\(\Leftrightarrow\dfrac{x}{5}=\dfrac{y}{-3}=\dfrac{z}{-17}=\dfrac{t}{9}=-2\)
=>x=-10; y=6; z=34; t=-18
Bài 10:
\(\Leftrightarrow\dfrac{8}{x}=\dfrac{y}{21}=\dfrac{40}{z}=\dfrac{16}{t}=\dfrac{u}{111}=\dfrac{4}{3}\)
=>x=6; y=28; z=30; t=12; u=148