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= \(2^2-2.2.\left(\sqrt{5}\right)^2+\left(\sqrt{5}\right)^2\)
\(=\left(2-\sqrt{5}\right)^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(xy-y\sqrt{x}+\sqrt{x}-1\\ =\left(xy-y\sqrt{x}\right)+\left(\sqrt{x}-1\right)\\ =\sqrt{x}y\left(\sqrt{x}-1\right)+\left(\sqrt{x}-1\right)\\ =\sqrt{x}y\left(\sqrt{x}-1\right)\)
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14) \(\sqrt{7-4\sqrt{3}}\)
\(=\sqrt{2^2-2\cdot2\cdot\sqrt{3}+\left(\sqrt{3}\right)^2}\)
\(=\sqrt{\left(2-\sqrt{3}\right)^2}\)
\(=\left(\sqrt{2-\sqrt{3}}\right)\cdot\left(\sqrt{2-\sqrt{3}}\right)\)
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i) \(=x\left(x-5\right)+3\left(x-5\right)=\left(x-5\right)\left(x+3\right)\)
j) \(=x\left(x-1\right)+8\left(x-1\right)=\left(x-1\right)\left(x+8\right)\)
k) \(=x\left(x+1\right)+3\left(x+1\right)=\left(x+1\right)\left(x+3\right)\)
l) \(=x\left(x-3\right)-2\left(x-3\right)=\left(x-3\right)\left(x-2\right)\)
m) \(=x\left(x^2-4x+4\right)=x\left(x-2\right)^2\)
<=>x9-9x6-27
<=>(x3)3-3(x3)23+3.9.x3-27-27x3
<=>(x3-3)3-27x3
<=>(x3-3-3x).((x3-3)2+(x3-3).3x+9x2)
<=>(x3-3-3x).(x6-6x3+9+3x4-9x+9x2)