Multiply and find the product $(\frac{3}{2}+\sqrt{5})(\frac{3}{2}-\sqrt{5})$.

Q. Multiply the reciprocals of $\frac{-5}{2},\frac{4}{35}$ and add the additive inverse of $\frac{3}{2}$ to the product. Find the result.

Q. If $p=\frac{3-\sqrt{5}}{3+\sqrt{5}}\mathrm{and}q=\frac{3+\sqrt{5}}{3-\sqrt{5}}$, find the value of p² + q².

Q. In $(2\times 5)\times 6$, first we would multiply $2$ and $5$ and then multiply their product with $6$.

Q. Multiply $1\frac{3}{5}$ and $\frac{1}{2}.$

Statement 1: The product of $1\frac{3}{5}$ and $\frac{1}{2}$ is less than $1\frac{3}{5}$ because $1\frac{3}{5}$ is being multiplied by a factor less than $1$.
Statement 2: The product of $1\frac{3}{5}$ and $\frac{1}{2}$ is greater than $1\frac{3}{5}$ because $1\frac{3}{5}$ is being multiplied by a factor greater than $1$.