P = 12xy – 10y² – 18x²,

Q = 14x² + 12y² + 9xy, and

R = 5y² – x² + xy

then (P + Q) – R =

 if $$x^4+{16\over x^4}=15617, x>0$$ then find the value of $$x+{2\over x}$$

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) 3x² + 11x + 10 = 0
 (ii) 2y² + 11y + 14 = 0

if 2x + 3y = 17 and 2x+2 – 3y+1 = 5, then :

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

If 9x² + y² = 37 and xy = 2, x, y>0, then the value of (27x³+ y³) is:

The expression   $${15(\sqrt { 10}+\sqrt { 5})\over \sqrt { 10}+\sqrt { 20}+\sqrt { 40}-\sqrt { 5}-\sqrt { 80}     }$$ is equal to:

What is the product of (x + a) and (x + b)?