Algebraic Expression

If $\mathrm{X}=2+\sqrt[3]{2}+{\left(\sqrt[3]{2}\right)}^2$, then find the value of ${\mathrm{X}}^3-6{\mathrm{X}}^2+6\mathrm{X}$.

Given$t=2+\sqrt[3]{4}+\sqrt[3]{2},$find the value of$t^3-6t^2+6t-2.$

If ${\left(x+\frac{1}{x}\right)}^2=3,$ then the value of $x^{206}{+x}^{200}+x^{90}+x^{84}{+x}^{18}+x^{12}{+x}^6+1$ is _____.

If $x=2+\sqrt{3}$, then the value of $\sqrt{x}+\frac{1}{\sqrt{x}}$ is

Solving equation $m+\sqrt{m}=6/25$ the value of '$m$' works out to

If $x=\sqrt{3}+\frac{1}{\sqrt{3}}$ then $\left(x-\frac{\sqrt{126}}{\sqrt{42}}\right)\left(x-\frac{1}{x-\frac{2\sqrt{3}}{3}}\right)=$

Which of the following is a linear equation in one variable?

Identify which of the following is a Linear Equation with one variable from the equations given below ?

In the given terms, Which of the following is an algebraic expression with one variable?

Identify the algebraic linear equation in one variable from the given expressions. 

Identify the algebraic linear equation in one variable from the given expressions. 

If $x=9$ is a solution to the equation $\frac{5x-7}{2}=k$, then the value of $k$ is:

If $x=2$ is a solution to the equation $4\left(2x+5\right)+k=3x+15$, then the value of $k$ is:

Which of the following equation has only one variable.

 

Which of the following is not a linear equation in one variable?

If $\left(x+\frac{1}{x}\right)=2,$ then what is the value of $\left(x^2+\frac{1}{x^2}\right)?$

If $x=(b-c)(a-d), y=(c-a)(b-d), z=(a-b)(c-d),$ $x^3+y^3+z^3$ then what is $x^3+y^3+z^3$ equal to?

If, $\frac{a+b}{\sqrt{ab}}=\frac{2}{1}$ , then the value of $(a-b)$ is:

What is the value of $a(a + b^2 + c) + b^2(a^2 + b^2 + c^2) - c(a + b^2)$ , when $a = 1, b = - 3 and c = -2$? 

If $a+\frac{1}{b}=1$ and $b+\frac{1}{c}=1,$ then $c+\frac{1}{a}=?$