Use suitable identities to find the products: $(x+8)(x-10)$

Write the following cube in expanded form: $(2a - 3b)^{3}$

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

Factorise $y^2 - 5y + 6$ by using the Factor Theorem.

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

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