if a² + b² + c² = 2(4a -5b -9c)-122 , then a-b-c = ?

If 4x² + y² = 40 and x y = 6, then find the value

of 2x + y?

Find the value of ‘x’ in the given expression:

(49/16)^x× (64/343)^x-1= 4/7

If x = (√13 + √12)/ (√13 - √12) and y = (√13 - √12)/(√13 + √12), then find the value of 4x² – xy + 4y².

Find the value of

(1 -  `1/(p+1)` ) + (1 - `2/(p+1)`  ) + (1 - `3/(p+1)`  ) + ........................... + (1 -  `p/(p+1)` )

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

Length of each side of a rhombus is 13 cm and one of the diagonal is 24 cm. What is the area (in cm²) of the rhombus?

If 3y-3/y=18 then find the value of y² +1/y²