`x(y+2)-y(x+2)+(xy+y)-:x-(xy+x)-:y` `-(x^(2)y^(2)+x^(2)y-y^(2)x-x^(2)-y^(2))-:xy`

Simplify: 2x^(2)+3xy -3y^(2)+x^(2)-xy+y^(2)

Add : 5x^(2)-2xy +8y^(2), 3xy -7y^(2)-2x^(2) and y^(2)+xy-4x^(2) .

The differential equation of all conics whose centre klies at origin, is given by (a) (3xy_(2)+x^(2)y_(3))(y-xy_(1))=3xy_(2)(y-xy_(1)-x^(2)y_(2)) (b) (3xy_(1)+x^(2)y_(2))(y_(1)-xy_(3))=3xy_(1)(y-xy_(2)-x^(2)y_(3)) ( c ) (3xy_(2)+x^(2)y_(3))(y_(1)-xy)=3xy_(1)(y-xy_(1)-x^(2)y_(2)) (d) None of these

Subtract the sum of x^(2)-5xy +2y^(2) and y^(2)-2xy -3x^(2) from the sum of 6x^(2)-8xy-y^(2) and 2xy-2y^(2)-x^(2) .

Add x^2+y^2+3xy-6 and 2x^2-4y^2-xy+5

Add : x^(3) - x^(2)y + 5xy^(2) + y^(3) , -x^(3) - 9xy^(2) + y^(3), 3x^(2)y + 9xy^(2)

(y^(2)+yz+z^(2))/((x-y)(x-z)) + (z^(2)+zx+x^(2))/((y-z)(y-x)) + (x^(2)+xy+y^(2))/((z-x)(z-y))

((10x^(2)y)/(x^(2)+xy))times(((x+y)^(2))/(2xy))÷((x^(2)-y^(2))/(y^(2))) Which of the following is equivalent to the expression above?

Using horizontal method : Add x^(2)+y^(2)- 2xy , -2x^(2)-y^(2)-2xy and 3x^(2) +y^(2) +xy

Evaluate : 3x^(2) + 5xy - 4y^(2) + x^(2) - 8xy - 5y^(2)