Phân tích đa thức thành nhân tử
X2 - y2 + 2x + 1
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a, Ta có: \(n_{Na}=\dfrac{2,3}{23}=0,1\left(mol\right)\)
\(m_{HCl}=60.7,3\%=4,38\left(g\right)\Rightarrow n_{HCl}=\dfrac{4,38}{36,5}=0,12\left(mol\right)\)
PT: \(2Na+2HCl\rightarrow2NaCl+H_2\)
Xét tỉ lệ: \(\dfrac{0,1}{2}< \dfrac{0,12}{2}\), ta được HCl dư.
Theo PT: \(n_{H_2}=\dfrac{1}{2}n_{Na}=0,05\left(mol\right)\Rightarrow V_{H_2}=0,05.24,79=1,2395\left(l\right)\)
b, \(n_{HCl\left(pư\right)}=n_{NaCl}=n_{Na}=0,1\left(mol\right)\)
\(\Rightarrow n_{HCl\left(dư\right)}=0,12-0,1=0,02\left(mol\right)\)
Ta có: m dd sau pư = 2,3 + 60 - 0,05.2 = 62,2 (g)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{NaCl}=\dfrac{0,1.58,5}{62,2}.100\%\approx9,41\%\\C\%_{HCl}=\dfrac{0,02.36,5}{62,2}.100\%\approx1,17\%\end{matrix}\right.\)
\(4(x-1)^2-25(2-3x)\\=4(x^2-2x+1)-50+75x\\=4x^2-8x+4-50+75x\\=4x^2+67x-46\)
a) \(\left(2x+5\right)^2-8^2\)
\(=\left(2x+5-8\right)\left(2x+5+8\right)\)
\(=\left(2x-3\right)\left(2x+13\right)\)
b) \(\left(2x-1\right)^2-\left(3x-1\right)^2\)
\(=\left[\left(2x-1\right)-\left(3x-1\right)\right]\left[\left(2x-1\right)+\left(3x-1\right)\right]\)
\(=\left(2x-1-3x+1\right)\left(2x-1+3x-1\right)\)
\(=-x\left(5x-2\right)\)
1 June is not as hot as July
2 Although it was a comedy, most audience fell asleep
3 When they got divorced, they were married for five years
4 John was very sad because he failed the final exam
1 Cấu trúc so sánh ngang bằng: S1 + be as + adj + as S2
3 When sẽ đưa vào cùng với mệnh đề có hành động xen vào
\(x^2-y^2+2x+1\\=(x^2+2x+1)-y^2\\=(x+1)^2-y^2\\=(x+1-y)(x+1+y)\)