Arihant Expert Team Solutions for Exercise 2: Practice Exercise

If $\left(x^2+\frac{1}{x^2}\right)=6,$ then find the value of $\left(10x-\frac{10}{x}\right)$.

Given, $w=-2, x=3, y=0,$ and $z=-\frac{1}{2},$ Find the value of  $2(w^2+x^2+y^2)$.

Find the factors of $(x^2-x-132)$.

Twice the difference between two numbers is equal to their sum. If one number is $15$, find the other number.

If $(a^2-b^2)÷(a+b)=25,$ find $a-b$.

If $x+\left(\frac{1}{x}\right)=15,$ then find the value of $5x÷(5x^2-11x+5)$.

If $\left(x+\frac{1}{x}\right)=2$, then find the value of  $\left(x^3+\frac{1}{x^3}\right)÷\left(x^{18}+\frac{1}{x^{18}}\right)$.

Find the degree of the polynomial $8x^4+2x^2{y}^3+4$.