.. Find the factors of the following (a) `(1-(x)^2) (1-(y)^2) + 4xy`

Find the factors of following equations. 6x^2-xy-12y^2 =0

Find the factors of x^(2)+9y^(2)+6xy

Find the value of the following: tan((1)/(2))[sin^(-1)((2x)/(1+x^(2)))+cos^(-1)((1-y^(2))/(1+y^(2)))],|x| 0 and xy<1

Find the derivative of y w.r.t. x in each of the following : x^(2)+y^(2)-3xy+1

If x=1 and y=-2; by using the identity find the following : (i) (4y^2-9x^2)(16y^4+36x^2y^2+81x^4) (ii) (x+2y)(x^2-2xy+4y^2)

Find the particular solutions of the following problems : x^(2)dy-(x^(2)+xy+y^(2))dx=0, y(1)=1

Find the equations of the tangent and the normal to the following curves : (a) 4x^(3)-3xy^(2)+6x^(2)-5xy-8y^(2)+9x+14=0 at the point (-2,3) (b) x^(5)+y^(5)-2xy=0 at the point (1,1)

Find the linear factors of x^(2)-5xy+4y^(2)+x+2y-2

If |x|<1 and |y|<1, find the sum of infinity of the following series: (x+y)+(x^(2)+xy+y^(2))+(x^(3)+x^(2)y+xy^(2)+y^(3))+