The value of \$\frac{6.35 \times 6.35 \times 6.35 + 3.65 \times 3.65 \times 3.65}{63.5 \times 63.5 + 36.5 \times 36.5 - 63.5 \times 36.5}$ is equal to

If x + y + z = 19, xyz = 216 and xy + yz + zx = 114, then the value of $\sqrt{x^3+y^3+z^3+xyz}$ is.

The value of $\frac{5.35\times{5.35}\times{5.35}+3.65\times{3.65}\times{3.65}}{53.5\times{53.5}+36.5\times{36.5}-53.5\times{36.5}}$ is:

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$27(a^3+b^3)$