Question

Phân tích thành nhân tử:

a) 2x-2√x

b)x-√x -6

c)4x -4√x +1

Answer 1

\(a,2x-2\sqrt{x}=2\sqrt{x}\left(\sqrt{x}-1\right)\\ b,x-\sqrt{x}-6=x-3\sqrt{x}+2\sqrt{x}-6\\ =\sqrt{x}\left(\sqrt{x}-3\right)+2\left(\sqrt{x}-3\right)=\left(\sqrt{x}-3\right)\left(\sqrt{x}+2\right)\\ c,4x-4\sqrt{x}+1=\left(2\sqrt{x}\right)^2-2.2\sqrt{x}.1+1^2=\left(2\sqrt{x}+1\right)^2\)

Answer 2

a) \(2x-2\sqrt{x}=2\sqrt{x}\left(\sqrt{x}-1\right)\)

b) \(x-\sqrt{x}-6=\left(\sqrt{x}-3\right)\left(\sqrt{x}+2\right)\)

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