If a = 2·361, b = 3·263 and c = 5·624, then the value of a³ + b³ – c³ + 3abc is

If x = y = 333 and z = 334, then the value of x³ + y³ + z³ – 3xyz is

if 2x² – 7x + 5 =0, then what is the value of $$x^2+{25\over 4x^2}$$

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 2x³ = $$ \sqrt {256}$$
 (ii) 2y² – 9y + 10 = 0

$$4a-{4\over a}+3=0$$ then the value of :   $$ a^3-{1\over a^3}+3=?$$

What is the simplified form the expression (1+x)(1+x²)(1+x⁴)(1+x⁸)(1-x)?

Simplify the following expression.

$${\left({375+125} \right)^2-\left({125-375} \right)^2}\over 375×375-125×125$$

If p, q, r are all real numbers, then (p – q)³ + (q – r)³ + (r – p)³ is equal to