Without actually calculating the cubes, find the value of each of the following
$(31)^{3}-(16)^{3}-(15)^{3}$
$14250$
$22500$
$21436$
$22320$
Write the degree of the following polynomials
$\sqrt{11} t+14$
If $x+5$ is a factor of $x^{3}+13 x^{2}+a x+35$ find the value of $a$.
Divide $p(x)=x^{3}+7 x^{2}+14 x+1$ by $x+3$ and find the quotient and the remainder.
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
$x^{3}+y^{3}+z^{3}-3 x y z$
Factorise
$16 x^{2}+40 x y+25 y^{2}$