Simplify the polynomial by regrouping method.
$5 x y^{3} + 2 x^{2} y^{2} + 10 x y + 4 x^{2}$

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

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

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

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

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

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

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

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

Open in App

Solution

The correct option is A $x (5 y + 2 x) (y^{2} + 2)$
Given:
$5 x y^{3} + 2 x^{2} y^{2} + 10 x y + 4 x^{2} \Rightarrow 5 x y^{3} + 10 x y + 2 x^{2} y^{2} + 4 x^{2} \Rightarrow 5 x y (y^{2} + 2) + 2 x^{2} (y^{2} + 2) \Rightarrow (y^{2} + 2) (5 x y + 2 x^{2}) \Rightarrow x (5 y + 2 x) (y^{2} + 2)$

Suggest Corrections

Similar questions

x^{4} + 2 x^{2} y^{2} + y^{4}

In the method of regrouping, we ________ .

10 x^{3} - 4 x^{2} + 12 x^{6} - 2 x^{2} + 14 x^{7} - 5 x^{3}

8 x^{2} - 2 - 3 x + 12 x^{3}

4 x^{2} - 1

4 x^{2} - 3 x - 1

Join BYJU'S Learning Program