Factorise: $4 x^{4} + 9 y^{4} + 11 x^{2} y^{2}$

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

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

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

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

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

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

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

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

Open in App

Solution

The correct option is D $(2 x^{2} + 3 y^{2} + x y) (2 x^{2} + 3 y^{2} - x y)$
$4 x^{4} + 9 y^{4} + 11 x^{2} y^{2}$
$= (2 x^{2})^{2} + (3 y^{2})^{2} + 2 (2 x^{2}) (3 y^{2}) - (x y)^{2}$
$= (2 x^{2} + 3 y^{2})^{2} - (x y)^{2}$
$= (2 x^{2} + 3 y^{2} + x y) (2 x^{2} + 3 y^{2} - x y)$

Suggest Corrections

Similar questions

y^{3} - 3 y^{2} + 2 y - 6 - x y + 3 x

2 x^{2} - 3 y^{2}

x^{2} + 3 y^{2} + 2 x y

1 : x^{2} - 3 x^{2} y^{2} + x^{2} y^{2} - 2 x^{2} - 3 y^{2} + 12 x^{2} y^{2}

2 : (x^{2} - 2 x^{2}) + (- 3 x^{2} y^{2} + x^{2} y^{2} + 12 x^{2} y^{2}) - 3 y^{2}

3 : (- x^{2} + 10 x^{2} y^{2} - 3 y^{2})

x^{2} (1 - 3 y^{2}) + (x y^{2} - 2 x) - 3 y (y - 4 x^{2} y)

Join BYJU'S Learning Program