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\(x\sqrt{x}-3x+4\sqrt{x}-2=x\sqrt{x}-x-2x+2\sqrt{x}+2\sqrt{x}-2\)
\(=x\left(\sqrt{x}-1\right)-2\sqrt{x}\left(\sqrt{x}-1\right)+2\left(\sqrt{x}-1\right)\)
\(=\left(\sqrt{x}-1\right)\left(x-2\sqrt{x}+2\right)\)

\(x^2-2xy+5x-10y\)
\(=x\left(x-2y\right)+5\left(x-2y\right)\)
\(=\left(x+5\right)\left(x-2y\right)\)
\(x^2-2xy+5x-10y\)
\(=\left(x^2-2xy\right)+\left(5x-10y\right)\)
\(=x\left(x-2y\right)+5\left(x-2y\right)\)
\(=\left(x-2y\right)\left(x+5\right)\)
\(x-3\sqrt{x}+\sqrt{xy}-3y\)
\(=\left(x-3\sqrt{x}\right)+\left(\sqrt{xy}-3y\right)\)
\(=\sqrt{x}\left(\sqrt{x}-3\right)+y\left(\sqrt{x}-3\right)\)
\(=\left(\sqrt{x}-3\right)\left(\sqrt{x}+y\right)\)

Lời giải:
$x\sqrt{x}-3x+4\sqrt{x}-2=(x\sqrt{x}-x)-(2x-2\sqrt{x})+(2\sqrt{x}-2)$
$=x(\sqrt{x}-1)+2\sqrt{x}(\sqrt{x}-1)+2(\sqrt{x}-1)$
$=(\sqrt{x}-1)(x+2\sqrt{x}+2)$

a)6x2+23x-18
=6x2-4x+27x-18
=2x(3x-2)+9(3x-2)
=(2x+9)(3x-2)
b)x4+324
=(x4+182+36x2)-36x2
=(x2+18)2-36x2
=(x2-6x+18)(x2+6x+18)
a,6x2+23x-18
=6x2+27x-4x-18
=(6x2+27x)-(4x+18)
=3x(2x+9)-2(2x-9)
=(3x-2)(2x+9)
\(x-7\sqrt{x}-18\)
\(=x+2\sqrt{x}-9\sqrt{x}-18\)
\(=\sqrt{x}\left(\sqrt{x}+2\right)-9.\left(\sqrt{x}+2\right)\)
\(=\left(\sqrt{x}+2\right)\left(\sqrt{x}-9\right)\)