Question

\(\sqrt{ab}+2\sqrt{a}+3\sqrt{b}+6\)

Answer 1

\(=\left(\sqrt{ab}+2\sqrt{a}\right)+\left(3\sqrt{b}+6\right)\\ =\sqrt{a}\left(\sqrt{b}+2\right)+3\left(\sqrt{b}+2\right)\\ =\left(\sqrt{b}+2\right)\left(\sqrt{a}+3\right)\)

Answer 2

\(\sqrt{ab}+2\sqrt{a}+3\sqrt{b}+6\\ =\sqrt{a}\left(\sqrt{b}+2\right)+3\left(\sqrt{b}+2\right)\\ =\left(\sqrt{b}+2\right)\left(\sqrt{a}+3\right)\)