Simplify the given expression.

​$$3x(x - 3) + 2(3x^2 - 4)$$​​

The sum of squares of all the roots of the equation:
​$$\left(x + \frac{1}{x}\right)^2 - 4 = \frac{3}{2} \left(x - \frac{1}{x}\right), x \neq 0$$ is:

What is the remainder when the polynomial x¹⁰⁰ – 2x⁵¹ + 1 is divided by (x² – 1) ?

Solution of $$\dfrac{x - 2}{x + 5} > 2$$​ is:

​$$\text{Sum and product of all roots of } 4x^3 - 8x^2 - 13x + 19 = 0 \text{ is:}$$​