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

Expand each of the following,using suitable identities: $(-2x + 3y + 2z)^2$

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer: $y + \frac{2}{y}$

Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases: $p(x) = x^3 + 3x^2 + 3x + 1$,$g(x) = x + 2$.

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

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