If $\sqrt{11-3\sqrt{8}}=a+b\sqrt{2}$, then what is the value of (2a+3b)?

If (10a³ + 4b³) : (11a³ - 15b³) = 7 : 5, then (3a + 5b) : (9a - 2b) =?

If 27(x + y)³ - 8(x - y)³ = (x + 5y)(Ax² + By² + Cxy), then what is the value of (A + B - C)?

If a + b + c = 6, a³ + b³ + c³ - 3 abc = 342, and a² + b² + c² = 50, then what is the value of ab + bc + ca?

If a and b are two positive real numbers such that a + b = 20 and ab = 4, then the value of a³ + b³ is:

If a = 355, b = 356, c = 357, then find the value of a³ + b³ + c³ - 3abc.

If a + b = 10 and $\frac{3}{7}$ of ab = 9, then the value of a³ + b³ is:

If xy = 16 and x² + y² = 32, then the value of (x + y) is:

Find the factors of the expression 3x² – 5x – 8.

If $x^4+\frac{1}{x^4}=\frac{257}{16}$ then find $\frac{8}{13}(x^3+\frac{1}{x^3})$, where x>0.

If a + b = 8 and a + a² b + b + ab² = 128 then the positive value of a³ + b³ is:

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: