" (vi) "(x^(3)+y^(3))xy=x^(5)-y^(5)

HCF and LCM of two polynomials are (x+y) and 3x^(5) + 5x^(4)y + 2x^(3)y^(2) - 3x^(2)y^(3) - 5xy^(4) - 2y^(5) , respectively. If one of the polynomials is (x^(2) - y^(2)) . Then, the other polynomial is

If x:y::5:2, then (x ^(3) - y ^(3))/( x ^(3) + y ^(3)) = ?

Show that: (x^(2)+y^(2))^(5)=(x^(5)-10x^(3)y^(2)+5xy^(4))^(2)+(5x^(4)-10x^(2)y^(3)+y^(5))^(2)

Simplify the following : 2x^(2)+3y^(2)-5xy+5x^(2)-y^(2)+6xy-3x^(2)

Divide 36x^(2)y^(5)+42xy^(3)-24x^(3)y^(2)-12y^(5) by -6y^(2) .

Solution of D.E (dy)/(dx)=(2x+5y)/(2y-5x+3) is,if (y(0)=0) (1) x^(2)-y^(2)+5xy-3y=0 (2) x^(2)+y^(2)+5xy-3y=0 (3) x^(2)-y^(2)+5xy+3y=0 (4) x^(2)-y^(2)-5xy-3y=0

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

Simplify the following : 2x^(2) + 3y^(2) - 5xy +5x^(2) - y^(2) + 6xy - 3x^(2)