y^(2)-3y^(4)(y^(2)-y^(4)+2y^(2)-6+y^(3)

Divide: 3y^(4)-3y^(3)-4y^(2)-4y^(2)-4y-byy^(2)-2y2y^(5)+10y^(4)+6y^(3)+y^(2)+5y+3by2y^(3)+1x^(4)-2x^(3)+2x^(2)+x+4byx^(2)+x+1

Show that (x^(2)+y^(2))^(4)=(x^(4)-6x^(2)y^(2)+y^(4))^(2)+(4x^(3)y-4xy^(3))^(2)

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)}]

Simplify : (x+y)^(4) - 4y(x+y)^(3) + 6y^(2)(x+y)^(2)-4y^(3)(x+y)+y^(4)

The solution of the differential equation (dy)/(dx)+(x(x^(2)+3y^(2)))/(y(y^(2)+3x^(2)))=0 is (a) x^(4)+y^(4)+x^(2)y^(2)=c (b) x^(4)+y^(4)+3x^(2)y^(2)=c (c) x^(4)+y^(4)+6x^(2)y^(2)=c (d) x^(4)+y^(4)+9x^(2)y^(2)=c

If y ^(2) = 4ax then 4a^2 (1+ y_(1) ^(2)) ^(3//2) + (y ^(2) + 4a ^(2)) ^(3//2)y _(2)=

Add :5m(3-m) and 6m^(2)-13m4y(3y^(2)+5y-7) and 2(y^(3)-4y^(2)+5)

Divide: 3y^4-3y^3-4y^2-4y^2-4y-b y\ y^2-2y 2y^5+10 y^4+6y^3+y^2+5y+3\ b y\ 2y^3+1