f(x)=y^(2)+y-7,q(y)=y^(3)+y^(2)+3y+4

If p(y)=y^(6)-3y^(4)+2y^(2)+6 and q(y)=y^(5)-y^(3)+2y^(2)+y-6 , find p(y)+q(y) and p(y)-q(y) .

Simplify 3y^(3) - [ 7y^(2) -{ - 2y^(3) -(2- 4y^(2))+6y -y^(2)}]

If f(x,y) =2x^(3) - 11x^(2)y + 3y^(3) , prove that x(del f)/(del x) + y(del f)/(del y)=3f .

((1) / (3) y ^ (2) - (4) / (7) y + 5) - ((2) / (7) y- (2) / (3) y ^ (2) +2 ) - ((1) / (7) y-3 + 2y ^ (2))

If a function satisfies (x-y)f(x+y)-(x+y)f(x-y)=2(x^(2)y-y^(3))AA x,y in R and f(1)=2 ,then

Find each of the following products: (i) (4x - 7y) (4x - 7y) (ii) (3x^(2) - 4y^(2)) (3x^(2) - 4y^(2))

If f (x, y) = 2x ^ (3) -11x ^ (2) y + 3y ^ (3), show that: x (delta f) / (delta x) + y (delta f) / (delta y ) = 3f (x, y)

If f (x, y) = 2x ^ (3) -11x ^ (2) y + 3y ^ (3), show that: x (delta f) / (delta x) + y (delta f) / (delta y ) = 3f (x, y)

if the radical centre of the three circles x^(2)+y^(2)-2x-1=0 and x^(2)+y^(2)-3y=1 and 2x^(2)+2y^(2)-x-7y-2=0 is Q then Q_(x)+Q_(y) is