Find the value of the polynomial $5x - 4x^2 + 3$ at $x = -1$.

Factorise: $49 a^{2}+70 a b+25 b^{2}$

Evaluate using suitable identities: $(104)^{3}$

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

Factorise the following: $8a^3 - b^3 - 12a^2b + 6ab^2$

Find the remainder obtained on dividing $p(x) = x^3 + 1$ by $x + 1$.