Question

phân tích thành nhân tử

a)13-4y²

b)x+9-6√x-2y² 

c)√x³- √y³+ √x²y -√xy²

Answer 1

a: \(=\left(\sqrt{13}-2y\right)\left(\sqrt{13}+2y\right)\)

b: \(=\left(x-\sqrt{3}\right)^2-2y^2\)

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

c: \(=x\sqrt{x}-y\sqrt{y}+\sqrt{xy}\left(\sqrt{x}-\sqrt{y}\right)\)

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

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