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\(x^2-2xy+5x-10y\)
\(=x\left(x-2y\right)+5\left(x-2y\right)\)
\(=\left(x+5\right)\left(x-2y\right)\)
\(x^2-2xy+5x-10y\)
\(=\left(x^2-2xy\right)+\left(5x-10y\right)\)
\(=x\left(x-2y\right)+5\left(x-2y\right)\)
\(=\left(x-2y\right)\left(x+5\right)\)
\(x-3\sqrt{x}+\sqrt{xy}-3y\)
\(=\left(x-3\sqrt{x}\right)+\left(\sqrt{xy}-3y\right)\)
\(=\sqrt{x}\left(\sqrt{x}-3\right)+y\left(\sqrt{x}-3\right)\)
\(=\left(\sqrt{x}-3\right)\left(\sqrt{x}+y\right)\)
\(x\sqrt{x}-3x+4\sqrt{x}-2=x\sqrt{x}-x-2x+2\sqrt{x}+2\sqrt{x}-2\)
\(=x\left(\sqrt{x}-1\right)-2\sqrt{x}\left(\sqrt{x}-1\right)+2\left(\sqrt{x}-1\right)\)
\(=\left(\sqrt{x}-1\right)\left(x-2\sqrt{x}+2\right)\)
Ta có : \(x^6-1\)
\(=\left(x^3\right)^2-1\)
\(=\left(x^3-1\right)\left(x^3+1\right)\)
\(=\left(x-1\right)\left(x^2+x+1\right)\left(x+1\right)\left(x-x+1\right)\)
\(8+3\sqrt{3}x^3\)
\(=2^3+\left(1\sqrt{3}x\right)^3\)
\(=\left(2+1\sqrt{3}x\right)\left(4-2\sqrt{3}x+3x^2\right)\)
(Nhớ k cho mình với nhá!)
\(a,5x^2y-10xy^2=5xy.\left(x-2y\right)\)
\(b,x^2-y^2+xz-yz=\left(x-y\right).\left(x+y\right)+z.\left(x-y\right)=\left(x-y\right).\left(x+y+z\right)\)
a) 5x2 - 10xy2
= 5x ( x - 2y2 )
b ) x2 - y2 + xz - yz
= ( x2 - y2 ) + ( xz - yz )
= ( x - y ) ( x + y ) + z ( x - y )
= ( x - y )( x + y + z )
ĐK : x ≥ 0
x - 3√x + 2 = x - 2√x - √x + 2 = √x( √x - 2 ) - ( √x - 2 ) = ( √x - 2 )( √x - 1 )