Factorise: $x^{4} + y^{4} - 27 x^{2} y^{2}$

(x^{2} - 5 x y + y^{2}) (x^{2} + 5 x y - y^{2})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(x^{2} + x y - y^{2}) (x^{2} - 5 y - y^{2})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(x^{2} + x y - y^{2}) (x^{2} - 5 x - y^{2})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(x^{2} + 5 x y - y^{2}) (x^{2} - 5 x y - y^{2})

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $(x^{2} + 5 x y - y^{2}) (x^{2} - 5 x y - y^{2})$
$x^{4} + y^{4} - 27 x^{2} y^{2}$
$= (x^{2})^{2} - 2 x^{2} y^{2} + (y^{2})^{2} - 25 x^{2} y^{2}$
$= (x^{2} - y^{2})^{2} - (5 x y)^{2}$
$= (x^{2} + 5 x y - y^{2}) (x^{2} - 5 x y - y^{2})$

Suggest Corrections

Similar questions

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

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

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

x y

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

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

Join BYJU'S Learning Program