Which of the following is a factor of $(x+y)^{3}-\left(x^{3}+y^{3}\right) ?$
$x^{2}+y^{2}+2 x y$
$3 x y$
$x^{2}+y^{2}-x y$
$x y^{2}$
Write the coefficient of $x^{2}$ in each of the following:
$(i)$ $\frac{\pi}{6} x+x^{2}-1$
$(ii)$ $3 x-5$
Write the degree of the following polynomials
$5$
Factorise
$\frac{x^{2}}{4}+\frac{3 x y}{5}+\frac{9 y^{2}}{25}$
From the following polynomials find out which of them has $(x+1)$ as a factor
$6 x^{3}+11 x^{2}-5 x-12$
Using suitable identity, evaluate the following:
$101 \times 102$