Question

Bài 1 Phân tích các đa thức sau thành nhân tử ( biết x > 0 )

a ) \(x+\sqrt{x}=\)

b ) \(x-\sqrt{x}\) =

c ) \(\sqrt{x}-x=\)

d ) x - 1 =

e ) \(x\sqrt{x}-1=\)

f ) \(x-\sqrt{x}-6=\)

g ) \(a-2\sqrt{a}+1=\)

h ) \(x-4\sqrt{x}+4=\)

Answer 1

a, \(=\sqrt{x}\left(\sqrt{x}+1\right)\)

b, \(=\sqrt{x}\left(\sqrt{x}-1\right)\)

c, \(=\sqrt{x}\left(1-\sqrt{x}\right)\)

d, \(=\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)\)

e, \(=\left(\sqrt{x}-1\right)\left(x+\sqrt{x}+1\right)\)

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

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

g, \(=\left(\sqrt{a}-1\right)^2\)

h, \(=\left(\sqrt{x}-2\right)^2\)