656:x=16 HELPPPPPPPPPPPPPPPP
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\(a,=x^3+2x^2-x-2-x^3+8=2x^2-x+6\\ b,=\dfrac{\left(x-2y\right)\left(x+2y\right)}{2\left(x-2y\right)}=\dfrac{x+2y}{2}\\ c,=\dfrac{4xy+x^2-2xy+y^2}{2\left(x-y\right)\left(x+y\right)}\cdot\dfrac{2x}{x+y}-\dfrac{y}{x-y}\\ =\dfrac{x\left(x+y\right)^2}{\left(x-y\right)\left(x+y\right)^2}-\dfrac{y}{x-y}=\dfrac{x}{x-y}-\dfrac{y}{x-y}=1\)
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Vì \(\left|x+\frac{25}{47}\right|\ge0\forall x\inℝ\); \(\left|y-\frac{9}{17}\right|\ge0\forall y\inℝ\)
\(\Rightarrow\left|x+\frac{25}{47}\right|+\left|y-\frac{9}{17}\right|\ge0\forall x;y\inℝ\)
Dấu " = " xảy ra <=> \(\hept{\begin{cases}x+\frac{25}{47}=0\\y-\frac{9}{17}=0\end{cases}\Rightarrow}\hept{\begin{cases}x=\frac{-25}{47}\\y=\frac{9}{17}\end{cases}}\)
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ĐKXĐ:\(x\ne\pm2\)
\(\dfrac{x+1}{x-2}-\dfrac{5}{2+x}=\dfrac{12}{x^2-4}+1\\ \Leftrightarrow\dfrac{\left(x+1\right)\left(x+2\right)}{\left(x+2\right)\left(x-2\right)}-\dfrac{5\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}-\dfrac{12}{\left(x-2\right)\left(x+2\right)}-\dfrac{\left(x-2\right)\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}=0\\ \Leftrightarrow\dfrac{x^2+3x+2-5x+10-12-x^2+4}{\left(x-2\right)\left(x+2\right)}=0\)
\(\Rightarrow-2x+4=0\\ \Leftrightarrow x=2\left(ktm\right)\)
\(\Rightarrow x^2+3x+2-5x+10=12+x^2-4\)
\(\Leftrightarrow-2x+12=8\Leftrightarrow x=2\left(ktm\right)\)
pt vô nghiệm
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\(\Rightarrow\left(832+656\right):x=4\\ \Rightarrow1488:x=4\\ \Rightarrow x=372\)
x=656:16
x=41
HT nha bn
\(656:x=16\)
\(x=656:16\)
\(x=41\)