a/4x/5 = 3y/2 ; 4y/5 = 5z/3 và 2x - 3y +4z = 5,34
b/ x−1/2=y−2/3=z−3/4 và 2x+ 3y-z =50
c/ x : y : z = 3:4:5 và 2x^2 + 2y^ 2 - 3z ^ 2 =-100
d/ 10x =15y = 21z và 3x - 7y +5z =30
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a: \(=\left(-\dfrac{6}{2}\right)\cdot\dfrac{x^3}{x}\cdot\dfrac{y^2}{y^2}=-3x^2\)
b: \(=\left(-\dfrac{1}{4}:\dfrac{1}{2}\right)\cdot\dfrac{x^4}{x^3}\cdot\dfrac{y^3}{y^2}=-\dfrac{1}{2}xy\)
c: \(=\dfrac{8}{4}\cdot\dfrac{x^4}{x^3}\cdot\dfrac{y^5}{y^4}=2xy\)
a: \(\dfrac{-6x^3y^4+4x^4y^3}{2x^3y^3}\)
\(=\dfrac{-6x^3y^4}{2x^3y^3}+\dfrac{4x^4y^3}{2x^3y^3}\)
\(=-3y+2x\)
b: \(\dfrac{5x^4y^2-x^3y^2}{x^3y^2}=\dfrac{5x^4y^2}{x^3y^2}-\dfrac{x^3y^2}{x^3y^2}\)
\(=5x-1\)
c: \(\dfrac{27x^3y^5+9x^2y^4-6x^3y^3}{-3x^2y^3}\)
\(=-\dfrac{27x^3y^5}{3x^2y^3}-\dfrac{9x^2y^4}{3x^2y^3}+\dfrac{6x^3y^3}{3x^2y^3}\)
\(=-9xy^2-3y+2x\)
a) \(\dfrac{-6x^3y^4+4x^4y^3}{2x^3y^3}\)
\(=\dfrac{2x^3y^3\cdot\left(-3y+2x\right)}{2x^3y^3}\)
\(=-3y+2x\)
\(=2x-3y\)
b) \(\dfrac{5x^4y^2-x^3y^2}{x^3y^2}\)
\(=\dfrac{5x\cdot x^3y^2-x^3y^2\cdot1}{x^3y^2}\)
\(=\dfrac{x^3y^2\cdot\left(5x-1\right)}{x^3y^2}\)
\(=5x-1\)
c) \(\dfrac{27x^3y^5+9x^2y^4-6x^3y^3}{-3x^2y^3}\)
\(=\dfrac{-3x^2y^3\cdot-9xy^2+-3x^2y^3\cdot-3y+-3x^2y^3\cdot2x}{-3x^2y^3}\)
\(=\dfrac{-3x^2y^3\cdot\left(-9xy^2-3y+2x\right)}{-3x^2y^3}\)
\(=-9xy^2-3x+2x\)
\(\left\{{}\begin{matrix}4x+y=2\\8x+3y=5\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}4.2+2y=2.2\\8x+3y=5\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}8x+2y=4\\8x+3y=5\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}-y=-1\\4x+y=2\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}y=1\\4x+1=2\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{1}{4}\\y=1\end{matrix}\right.\)
Vậy \(\left(x;y\right)=\left(\dfrac{1}{4};1\right)\)
a) \(\dfrac{3x+5}{4x^3y}-\dfrac{5-15x}{4x^3y}\)
\(=\dfrac{3x+5-5+15x}{4x^3y}\)
\(=\dfrac{18x}{4x^3y}\)
\(=\dfrac{9}{2x^2y}\)
b) \(\dfrac{2}{x-2}+\dfrac{4}{x+2}+\dfrac{-6+5x}{4-x^2}\)
\(=\dfrac{2}{x-2}+\dfrac{4}{x+2}+\dfrac{6-5x}{x^2-4}\)
\(=\dfrac{2\left(x+2\right)}{\left(x+2\right)\left(x-2\right)}+\dfrac{4\left(x-2\right)}{\left(x+2\right)\left(x-2\right)}+\dfrac{6-5x}{\left(x+2\right)\left(x-2\right)}\)
\(=\dfrac{2\left(x+2\right)+4\left(x-2\right)+6-5x}{\left(x+2\right)\left(x-2\right)}\)
\(=\dfrac{2x+4+4x-8+6-5x}{\left(x+2\right)\left(x-2\right)}\)
\(=\dfrac{x+2}{\left(x+2\right)\left(x-2\right)}\)
\(=\dfrac{1}{x-2}\)
a, x/5-y/2
=> 3x/15=2y/4=3x-2y/15-4=44/11=4
+, x/5=4 => x=20
+, y/2=4 => y=8
c, 4x=3y
=> x/3=y/4=x-y=3-4=11/-1=-11
+, x/3=-11 => x=-33
+, y/4=-11 => y=-44
1) \(x^3\left(\dfrac{-5}{4}x^2y\right)\left(\dfrac{2}{5}x^3y^4\right)\)
\(=\dfrac{-1}{2}x^8y^5\)
Vậy: Bậc là 14, phần hệ số là \(\dfrac{-1}{2}\)
2) \(5xyz.4x^3y^2\left(-2x^5y\right)\)
\(=-40x^9y^4z\)
Vậy: Bậc là 15, phần hệ số là \(-40\)
3) \(4x^3y\left(-x^2y^5\right)\left(2xy\right)\)
\(=-8x^6y^7\)
Vậy: Bậc là 14, phần hệ số là \(-8\)
a) (4x-1)(2-x)-(2x-1)2
= 8x-4x2-2+x-(4x2-4x+1) = -8x2+13x-3
b) (15x4y5-30x3y4+35x3y4):(5x3y3)
= 3xy2-6y+7y = 3xy2+y