If p = 40 - q - r and pq + r(q + p) = 432, then find the value of (p² + q² + r²).
If 9x2 + 16y2 = 24xy, then find the ratio of ‘x’ and ‘y’, respectively.
[a/(2a²  + 5a + 2)] = 1/6 , then find the value of (a+1)/a ?

Calculate the value of the expression: {2 X (P3Â - Q3) - 30 X P X Q} if (P - Q) = 6 and (P2Â + Q2) = 80

When positive numbers x, y and z are divided by 31, the remainders are 17, 24 and 27, respectively. When (4x - 2y + 3z) is divided by 31, the remainder ...
(a + 7)2 + (b – 2) 2 + (c + 3) 2 = 0, then find the value of 3a - 2b + c.