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What is the HCF of (x³ + 3x² - x - 3) and (x³ + 4x² + x - 6)?

‘a’ is directly proportional to ‘b’. If at a=30, the value of ‘b’ is 20% greater than ‘a’, then find the value of ‘a’ when b=54.

If (x - y) = 3, then find the value of (x³ - y³ - 9xy).

A train can cross a pole, a bridge of 720 meter long and platform of 640 meter long in 9 seconds, _____ seconds and 25 seconds, respectively.

If p = 24 - q - r and pq + r(q + p) = 132, then find the value of (p² + q² + r²).

If x² - 3x + 2 is a factor of, x⁴ - px² + q, then (p, q) =

If x^2a = y^2b =z^2c ≠ 0 and x² = yz, then the value of (ab + bc + ca) /bc is :

If a³ — b³ = 602 and a— b = 2, then find the value of( a² + b²)

If (x²⁴  +  1)/x¹²  = 7, then the value of (x⁷²  +  1)/x³⁶  is 

If p = 35 - q - r and pq + r(q + p) = 315, then find the value of (p² + q² + r²).