Use suitable identities to find the products: $(3x + 4)(3x - 5)$

Factorise the following using appropriate identities: $x^{2} - \frac{y^{2}}{100}$

Find the value of the following polynomial at the indicated value of the variable: $q(y) = 3y^3 - 4y + \sqrt{11}$ at $y = 2$.

Factorise: $\frac{25}{4} x^{2}-\frac{y^{2}}{9}$

Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases: $p(x) = x^3 - 4x^2 + x + 6$,$g(x) = x - 3$.

Evaluate using suitable identities: $(999)^{3}$