Question

1. \\(left(3sqrt{2}

ight)^2 - left(2sqrt{2}
ight)^2\\)

Explanation:

Step1: Apply power of a product rule

For \((a\sqrt{b})^2\), we use the formula \((xy)^2 = x^2y^2\). So \((3\sqrt{2})^2=3^2\times(\sqrt{2})^2\) and \((2\sqrt{2})^2 = 2^2\times(\sqrt{2})^2\).
\((3\sqrt{2})^2=9\times2 = 18\), \((2\sqrt{2})^2=4\times2=8\)

Step2: Subtract the two results

Now we subtract the two values we got: \(18 - 8\)

Answer:

\(10\)