Question

Phân tích đa thức thành nhân tử :

\(a\sqrt{x}+b\sqrt{y}+a\sqrt{y}+b\sqrt{x}\)

Answer 1

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

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

Answer 2

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

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

Answer 3

https://i.imgur.com/rqCjqaE.jpg

Answer 4

\(a\sqrt{x}+b\sqrt{y}+a\sqrt{y}+b\sqrt{x}\)

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

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

Answer 5

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