State whether the following statement is True or False. Justify your answer.
$A$ binomial can have at most two terms.

Which of the following expressions is a polynomial? State the reason. If an expression is a polynomial,state whether it is a polynomial in one variable or not: $x^{2}-15x+50$

Find the value of the following polynomial at the indicated value of the variable:
$q(y) = 5y^3 - 4y^2 + 14y - \sqrt{3}$ at $y = 2$

Find the value of the polynomial $x^{2}-7x+12$ at $x=1$.

Expand $(2 x-3)(2 x+5)$.

Prove that $(a+b+c)^{3}-a^{3}-b^{3}-c^{3}=3(a+b)(b+c)(c+a).$