Evaluate the following using suitable identities:
$(107)^{2}$

Write the coefficient of $x^{2}$ in each of the following:
$(i)$ $(x-1)(3 x-4)$
$(ii)$ $(2 x-5)(2 x^{2}-3 x+1)$

Factorise $: 8 x^{3}+y^{3}-27 z^{3}+18 x y z$

Which of the following expressions are polynomials in one variable and which are not? State reason for your answer. If the given expression is a polynomial,state whether it is a polynomial in one variable or not: $x^{3}+y^{3}+z^{3}-3xyz$

For the polynomial $p(x) = x^{2} - 7x + 12$,find the value of $p(2)$.

Expand $(2a + 3b)(2a - 5b)$.