If $\left(x-\frac{1}{x}\right)=\sqrt{3}$, then find the values of $x^2+\frac{1}{x^2}$ and $x^4+\frac{1}{x^4}$.

Evaluate the given algebraic expression for the value indicated against each of them.

$4p^2-20p+25$ for $p=-2$

Evaluate the given algebraic expression for the value indicated against each of them.

$3x^3-5x^2+2x-11$ for $x=3$

Write down all the possible factors of $8x^5{y}^2$.

Write down all the possible factors of $-13p^2{m}^2{q}^3$.

Write down all the possible factors of $35r^2{s}^5$.

Write down all the possible factors of $18a^3{b}^4{c}^2$.

Find the common factors of the given monomials.

$3pq, 21p^{2}q$

Find the common factors of the given monomials.

$18x^3{y}^2{z}^4, 24x{y}^2{z}^2$