Question

Tính:

a) (3\(\sqrt{2}\)+ 2\(\sqrt{3}\))(2\(\sqrt{3}\) - 3\(\sqrt{2}\))

Answer 1

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

\(=\left(2\sqrt{3}\right)^2-\left(3\sqrt{2}\right)^2=12-18=-6\)

Answer 2

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

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

\(\left(2\sqrt{3}\right)^2-\left(3\sqrt{2}\right)^2\)

\(=12-18=-6\)

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