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a, \(\dfrac{x^3+27}{x^2-3x+9}=\dfrac{x+3}{M}\Leftrightarrow\dfrac{\left(x+3\right)\left(x^2-3x+9\right)}{x^2-3x+9}=\dfrac{x+3}{M}\)
\(\Rightarrow M=\dfrac{x+3}{x+3}=1\)
b, \(\dfrac{M}{x+4}=\dfrac{x^2-8x+16}{16-x^2}=\dfrac{\left(x-4\right)^2}{\left(4-x\right)\left(x+4\right)}=\dfrac{4-x}{x+4}\)
\(\Rightarrow M=\dfrac{\left(4-x\right)\left(x+4\right)}{x+4}=4-x\)
c, tương tự
a) \(Q = 5{x^2} - 7xy + 2,5{y^2} + 2x - 8,3y + 1\) có bậc là 2.
b)
\(\begin{array}{l}H = 4{x^5} - \dfrac{1}{2}{x^3}y + \dfrac{3}{4}{x^2}{y^2} - 4{x^5} + 2{y^2} - 7\\ = \left( {4{x^5} - 4{x^5}} \right) - \dfrac{1}{2}{x^3}y + \dfrac{3}{4}{x^2}{y^2} + 2{y^2} - 7\\ = - \dfrac{1}{2}{x^3}y + \dfrac{3}{4}{x^2}{y^2} + 2{y^2} - 7\end{array}\)
Đa thức H có bậc là 4.
a: =>A-B=3x^2y-4xy^2+x^2y-2xy^2=4x^2y-6xy^2
b: =>B-A=-7xy^2+8x^2y-5xy^2+6x^2y=-12xy^2+14x^2y
=>A-B=12xy^2-14x^2y
c: =>B-A=8x^2y^3-4x^3y-3x^2y^3+5x^3y^2=5x^2y^3+x^3y^2
=>A-B=-5x^2y^3-x^3y^2
d: =>A-B=2x^2y^3-7x^3y+6x^2y^3+3x^3y^2=8x^2y^3-7x^3y+3x^3y^2
a)
\(\begin{array}{l}\dfrac{7}{3}{x^3}{y^2}:M = 7x{y^2}\\ \Rightarrow M = \dfrac{7}{3}{x^3}{y^2}:7x{y^2} = \left( {\dfrac{7}{3}:7} \right).\left( {{x^3}:x} \right).\left( {{y^2}:{y^2}} \right) = \dfrac{1}{3}{x^2}\end{array}\)
b)
\(\begin{array}{l}N:0,5x{y^2}z = - xy\\ \Rightarrow N = \left( { - xy} \right).0,5x{y^2}z = \left( { - 0,5} \right).\left( {x.x} \right).\left( {y.{y^2}} \right).z = - 0,5{x^2}{y^3}z\end{array}\)
a: \(=-8x^5+6x^3-2\)
b: \(=-\dfrac{2}{3}x+7-x^2y\)
c: \(=\dfrac{7\left(x-y\right)^4+4\left(x-y\right)^3}{\left(x-y\right)^2}=7\left(x-y\right)^2+4\left(x-y\right)\)
d: \(=\dfrac{6\left(x-3y\right)^4}{5\left(x-3y\right)}=\dfrac{6}{5}\left(x-3y\right)^3\)
a. ĐK: \(x\ne\pm2\)
\(M=\left[\dfrac{x\left(x+2\right)}{\left(x+2\right)\left(x-2\right)}-\dfrac{\left(x+1\right)\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}-\dfrac{2x+7}{\left(x-2\right)\left(x+2\right)}\right]:\dfrac{3-x+x-2}{x-2}\)
\(=\dfrac{x^2+2x-\left(x^2-2x+x-2\right)-2x-7}{\left(x-2\right)\left(x+2\right)}.\left(x-2\right)\)
\(=\dfrac{x-5}{x+2}\)
b. \(\dfrac{x-5}{x+2}< 1\Leftrightarrow\dfrac{x-5}{x+2}-1< 0\)
\(\Leftrightarrow\dfrac{-7}{x+2}< 0\Leftrightarrow x+2>0\)
\(\Leftrightarrow x>-2\)
Vậy \(x>-2,x\ne2\)
Câu 1:
\(\left(3\left|x\right|-2^4\right)\cdot7^3=2\cdot7^4\)
\(\Leftrightarrow3\left|x\right|-16=2\cdot7=14\)
=>3|x|=30
=>|x|=10
=>x=10 hoặc x=-10
`7/3 x^3 y^2 : M =7xy^2`
`=> M = 7/3 x^3 y^2 : 7xy^2`
`=> M= (7/3 : 7) . (x^3 :x) .(y^2 :y^2)`
`=> M= 1/3x^2 `