Evaluate $(132)^{2}$ by using suitable identities.

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: $x^{2}-15x+50$

Verify whether the following is True or False:
$-3$ is a zero of $x-3$.

If $a+b+c=5$ and $ab+bc+ca=10$,then prove that $a^3+b^3+c^3-3abc=-25$.

Expand $(3x - 1)(3x + 4)$.

Without actually calculating the cubes,find the value of:
$(0.2)^{3} - (0.3)^{3} + (0.1)^{3}$