Question

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

a ) \(x-\sqrt{x}=\)
b ) \(\sqrt{x}-x\) =
c ) x - 1 =

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

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

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

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

Answer 1

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

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

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

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

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

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

h/ \(x-4\sqrt{x}+4=\left(\sqrt{x}-2\right)^2\)