Question

Phân tích thành tích

a, 5\(\sqrt{2}\) -\(\sqrt{15}\)+\(5\sqrt{3}\) -\(\sqrt{10}\)

b, x-y-\(\sqrt{x}\)-\(\sqrt{y}\)

c, \(\sqrt{x^2-y^2}\) +x+y

d, x-1+2. \(\sqrt{x-2}\)

e, x-9+y-2\(\sqrt{xy}\)

g, x-3\(\sqrt{x}\)+2

Answer 1

a: \(=\sqrt{10}\left(\sqrt{5}-1\right)+\sqrt{15}\left(\sqrt{5}-1\right)\)

\(=\sqrt{5}\left(\sqrt{5}-1\right)\left(\sqrt{2}+\sqrt{3}\right)\)

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

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

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

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

d: \(=\left(\sqrt{x-2}+1\right)^2\)

g: \(=\left(\sqrt{x}-1\right)\left(\sqrt{x}-2\right)\)