Question

[đức đào]

Phân tích đa thức thành nhân tử

a, AB+B\(\sqrt{A}\)+\(\sqrt{A}\)+ 1

b, \(\sqrt{x^3}\)- \(\sqrt{y^3}\)+ \(\sqrt{x^2y}\)- \(\sqrt{xy^2}\)

Answer 1

[Witch Rose]

\(ab+b\sqrt{a}+\sqrt{a}+1\)

(đk: \(a\ge0\))

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

Answer 2

[Witch Rose]

ĐK: \(x,y\ge0\)

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

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