If the `HCF` of `8x^3 y^a` and `12x^by^2` is `4x^ay^b` find the maximum value of `a+b`

If 4x^(2)+y^(2)=1 then the maximum value of 12x^(2)-3y^(2)+16xy is

If (x+1)(x+3) is the HCF of (x^(2)+3x+2)(x^(2)+2x+a) and (x^(2)+7x+12)(x^(2)+7x+b) ,then the value of 6a+3b=

If 9x^(4)+12x^(3)+28x^(2)+ax+b is perfect square, find the values of a and b.

If 10y=7x-4 and 12x+18y=1 . Find the value of 4x+6y and 8y-x .

If the maximum value of ||x-3| - |x-2|| is a and minimum value of |x-1| + |x-2| is b, then find the value of (a+b).