" 15."x^(3)-x^(2)y-xy+y^(2)

The factors of x^(3)-x^(2)y-xy^(2)+y^(3) are (a (x+y)(x^(2)-xy+y^(2))(b)(x+y)(x^(2)+xy+y^(2))(c)(x+y)^(2)(x-y)(d)(x-y)^(2)(x+y)

x^(3)+x^(2)y+xy^(2)+y^(3)

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

Find (dy)/(dx) in the following: (a) x^(3)+x^(2)y+xy^(2)+y^(3)=81(b)xy+y^(2)=tan x+y(c)x^(2)+xy+y^(2)=100

What is ((x^(2)+y^(2))(x-y)-(x-y)^(3))/(x^(2)y-xy^(2)) equal to ?

x^(3) + xy^(2) - x^(2) y - y^(3) = "_______"

Veriffy : (i) x^(3)+y^(3)=(x+y)(x^(2)-xy+y^(2))x^(3)-y^(3)=(x-y)(x^(2)+xy+y^(2))

Verify : (i) x^(3)+y^(3)=(x+y)(x^(2)-xy+y^(2)) " " (ii) x^(3)-y^(3)=(x-y)(x^(2)+xy+y^(2))