Phân tích đa thức thành nhân tử:
x3 - x2 + x - 1
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Ta có: \(n_{Cu}=\dfrac{8,32}{64}=0,13\left(mol\right)\)
\(n_{O_2}=\dfrac{6,81725}{24,79}=0,275\left(mol\right)\)
PT: \(3Fe+2O_2\underrightarrow{t^o}Fe_3O_4\)
\(2Cu+O_2\underrightarrow{t^o}2CuO\)
Theo PT: \(n_{O_2}=\dfrac{2}{3}n_{Fe}+\dfrac{1}{2}n_{Cu}\) \(\Rightarrow n_{Fe}=0,315\left(mol\right)\)
\(\Rightarrow a=0,315.56=17,64\left(g\right)\)
Theo PT: \(\left\{{}\begin{matrix}n_{Fe_3O_4}=\dfrac{1}{3}n_{Fe}=0,105\left(mol\right)\\n_{CuO}=n_{Cu}=0,13\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%n_{Fe_3O_4}=\dfrac{0,105}{0,105+0,13}.100\%\approx44,7\%\\\%n_{CuO}\approx55,3\%\end{matrix}\right.\)
\(\overline{M_{hh}}=\dfrac{m_{Fe_3O_4}+n_{CuO}}{n_{Fe_3O_4}+n_{CuO}}=\dfrac{0,105.232+0,13.80}{0,105+0,13}=147,91\left(g/mol\right)\)
Gọi x, y là số mol của Mg và Cu.
Theo đề có: \(\dfrac{24x}{64y}=\dfrac{3}{4}\Leftrightarrow x-2y=0\left(1\right)\)
Lại có: \(24x+64y=11\left(2\right)\)
Từ (1), (2) giải hệ phương trình ta được: \(\left\{{}\begin{matrix}x=\dfrac{11}{56}\\y=\dfrac{11}{112}\end{matrix}\right.\)
BTNT:
\(n_{MgO}=n_{Mg}=\dfrac{11}{56},n_{CuO}=n_{Cu}=\dfrac{11}{112}\)
\(\Rightarrow m_{sp}=m_{MgO}+m_{CuO}=\dfrac{11}{56}.40+\dfrac{11}{112}.80=15,7\left(g\right)\)
\(n_{O_2}=\dfrac{1}{2}\left(x+y\right)=\dfrac{1}{2}\left(\dfrac{11}{56}+\dfrac{11}{112}\right)=0,15\left(mol\right)\Rightarrow V_{O_2}=0,15.22,4=3,36\left(l\right)\)
Ta có: \(n_{Al}=\dfrac{5,4}{27}=0,2\left(mol\right)\)
\(n_{O_2}=\dfrac{4,958}{24,79}=0,2\left(mol\right)\)
PT: \(2Cu+O_2\underrightarrow{t^o}2CuO\)
\(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\)
Theo PT: \(n_{O_2}=\dfrac{1}{2}n_{Cu}+\dfrac{3}{4}n_{Al}\)
⇒ nCu = 0,1 (mol)
⇒ m = 0,1.64 = 6,4 (g)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Cu}=\dfrac{6,4}{6,4+5,4}.100\%\approx54,2\%\\\%m_{Al}\approx45,8\%\end{matrix}\right.\)

Em ghi là đường cao H là sai, phải ghi là BH mới đúng vì vậy Olm bảo em làm sai em hiểu chưa nhỉ?
a, Ta có: 23nNa + 39nK = 2,94 (1)
PT: \(2Na+2H_2O\rightarrow2NaOH+H_2\)
\(2K+2H_2O\rightarrow2KOH+H_2\)
Theo PT: \(n_{H_2}=\dfrac{1}{2}n_{Na}+\dfrac{1}{2}n_K=\dfrac{1,12}{22,4}=0,05\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Na}=0,06\left(mol\right)\\n_K=0,04\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Na}=\dfrac{0,06.23}{2,94}.100\%\approx46,9\%\\\%m_K\approx53,1\%\end{matrix}\right.\)
b, Theo PT: \(\left\{{}\begin{matrix}n_{NaOH}=n_{Na}=0,06\left(mol\right)\\n_{KOH}=n_K=0,04\left(mol\right)\end{matrix}\right.\)
Ta có: m dd sau pư = 2,94 + 97,16 - 0,05.2 = 100 (g)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{NaOH}=\dfrac{0,06.40}{100}.100\%=2,4\%\\C\%_{KOH}=\dfrac{0,04.56}{100}.100\%=2,24\%\end{matrix}\right.\)
\(x^2\left(y-z\right)+y^2\left(z-x\right)+z^2\left(x-y\right)\\ =x^2y-x^2z+y^2z-xy^2+xz^2-yz^2\\ =\left(x^2y-x^2z\right)+\left(y^2z-yz^2\right)-\left(xy^2-xz^2\right)\\ =x^2\left(y-z\right)+yz\left(y-z\right)-x\left(y^2-z^2\right)\\ =x^2\left(y-z\right)+yz\left(y-z\right)-x\left(y+z\right)\left(y-z\right)\\ =\left(y-z\right)\left[x^2+yz-x\left(y+z\right)\right]\\ =\left(y-z\right)\left(x^2+yz-xy-xz\right)\\ =\left(y-z\right)\left[x\left(x-y\right)-z\left(x-y\right)\right]\\ =\left(y-z\right)\left(x-z\right)\left(x-y\right)\)
a: \(\left(x-2\right)\left(3x-1\right)\left(x^2-4x+1\right)\)
\(=\left(3x^2-x-6x+2\right)\left(x^2-4x+1\right)\)
\(=\left(3x^2-7x+2\right)\left(x^2-4x+1\right)\)
\(=3x^4-12x^3+3x^2-7x^3+28x^2-7x+2x^2-8x+2\)
\(=3x^4-19x^3+33x^2-15x+2\)
b: \(x\left(3-4x\right)\left(2x^2-3x\right)\)
\(=\left(-4x^2+3x\right)\left(2x^2-3x\right)\)
\(=-8x^4+12x^3+6x^3-9x^2\)
\(=-8x^4+18x^3-9x^2\)
a)
\(\left(x-2\right)\left(3x-1\right)\left(x^2-4x+1\right)\\ =\left(3x^2-6x-x+2\right)\left(x^2-4x+1\right)\\ =\left(3x^2-7x+2\right)\left(x^2-4x+1\right)\\ =3x^4-12x^3+3x^2-7x^3+28x^2-7x-8x+2\\ =3x^4-19x^3+31x^2-15x+2\)
b)
\(x\left(3-4x\right)\left(2x^2-3x\right)\\ =\left(3x-4x^2\right)\left(2x^2-3x\right)\\ =6x^3-9x^2-8x^4+12x^3\\ =-8x^4+18x^3-9x^2\)
\(x^7+x^2+1\)
\(=x^7+x^6+x^5-x^6-x^5-x^4+x^4+x^3+x^2-x^3-x^2-x+x^2+x+1\)
\(=x^5\left(x^2+x+1\right)-x^4\left(x^2+x+1\right)+x^2\left(x^2+x+1\right)-x\left(x^2+x+1\right)+\left(x^2+x+1\right)\)
\(=\left(x^2+x+1\right)\left(x^5-x^4+x^2-x+1\right)\)


\(x^3-x^2+x-1\)
\(=x^2\left(x-1\right)+\left(x-1\right)\)
\(=\left(x-1\right)\left(x^2+1\right)\)