P = 12xy – 10y² – 18x²,

Q = 14x² + 12y² + 9xy, and

R = 5y² – x² + xy

then (P + Q) – R =

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

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

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

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

If (x + y)³ +8 (x - y)³ = (3x+ Ay)(3x²+ Bxy+ Cy²), then the value of A+B+C is:

If x = 19 and y = 18, then the value of   $$ {{x^2}+{y^2}+{xy}}\over x^3-y3 $$ is

The HCF of x⁸ – 1 and x⁴ + 2x³ – 2x – 1 is :