Evaluate $77 \times 83$.

Factorise the expression: $\frac{x^{2}}{4}+\frac{3 x y}{5}+\frac{9 y^{2}}{25}$

Evaluate $(132)^{2}$ by using suitable identities.

Factorise $(x-2 y)^{3}+(2 y-3 z)^{3}+(3 z-x)^{3}$.

Give a possible expression for the length of a side of a square whose area is $(9x^2 + 30x + 25)$ square units, where $(x > 0)$.

Evaluate the following product without multiplying directly: $95 \times 96$