Find the remainder when we divide $x^{7} y - x y^{7}$ by $(x + y) (x^{2} - x y + y^{2})$

Open in App

Solution

$(x^{7} y - x y^{7}) = (x + y) (x^{2} - x y + y^{2}) Q + R$
Put $x = - y$ in above equation we get
$- y^{8} + y^{8} = 0 + R \Rightarrow R = 0$

Suggest Corrections

Similar questions

x^{7} y + x y^{7}

(9 x^{4} + 3 x^{3} y + 16 x^{2} y^{2} + 24 x y^{3} + 32 y^{4})

(3 x^{2} + 5 x y + 4 y^{2})

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

x^{3} + y^{3} - (x + y) (x^{2} - x y + y^{2})

Join BYJU'S Learning Program