Question

[My Lê]

Phân tích đa thức thành nhân tử:

a.  \(5+\sqrt{x}+25-x\)

b.\(xy-x\sqrt{y}+\sqrt{y}-1\)

Answer 1

[Trần Đức Thắng]

a, \(5+\sqrt{x}+25-x=\left(5+\sqrt{x}\right)+\left(5+\sqrt{x}\right)\left(5-\sqrt{x}\right)=\left(5+\sqrt{x}\right)\left(1+5-\sqrt{x}\right)=\left(5+\sqrt{x}\left(6-\sqrt{x}\right)\right)\)

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