If $x^2+\frac{1}{x^2}=38$ , then what is the value of $\left| {x - \frac{1}{x}} \right|$

If 2x + y = 6 and xy = 4, then find the value of 8x³ + y³ is:

If a - b = 4 and a³ - b³ = 88, then find the value of a² - b².

If x + y + z = 10, $x^3 + y^3 + z^3 = 75$ and xyz = 15, then find the value of $x^2 + y^2 + z^2-xy-yz-zx$

If $x =\sqrt{3} - 1$ and $y =\sqrt{3}+1$ then $\frac{(x^4-y^4)}{(x+y)^2}$ is equal to ?

$A=\frac{x-1}{x+1}$, then the value of $A-\frac{1}{A}$ is:

If $a^3 + b^3 + c^3 - 3abc = 126,$ a + b + c = 6, then the value of (ab + bc + ca) is:

If $a+b=\frac{7}{3}$ and $a^2+b^2=\frac{31}{9},$ find$27(a^3+b^3)$

In the expansion of $(2x + y )^3-(2x - y)^3$, the coefficient of $x^2y$ is:

If a + b + c = 6, $a^2 + b^2 + c^2 = 30$ and $a^3 + b^3 + c^3 = 165,$ then the value of 4abc is:

If a + b + c = 7 and $a^3 + b^3 + c^3-3abc = 175$, then what is the value of (ab + bc + ca)?

If $4a+\frac{1}{5a}=4$ , then the value of $25a^2+\frac{1}{16a^2}$ is:

If $x+\frac{1}{2x}=3$, find the value of $8x^3+\frac{1}{x^3}$.

If $2(a^2 + b^2) = (a + b)^2$ then,

If x : y = 2 : 3 then the value of $\frac{3x+2y}{9x+5y}$ will be

If x - 2y = 3 and xy = 5, find the value of $x^2-4y^2$

If a + b = 11 and ab = 15, then $a^2 + b^2$ is equal to:

$1-\frac12\times\frac12+ 1/2=?$

Simplify: $\frac{1}{(5-2\sqrt{3})}.$

What will be the difference between $\frac{75}{36}$ and $\frac{30}{16}?$