$Which of the following represents 2 x y + 6 y^{2} ?$

$2 y (x + 3 y)$

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

$3 y (x + 2 y)$

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

$4 x (x + 3 y)$

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

6 y (x + y)

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

Open in App

Solution

The correct option is A
$2 y (x + 3 y)$

$Given expression: 2 x y + 6 y^{2}$
The expression can be factorised as follows:

$2 x y + 6 y^{2} = (2 \times x \times y) + (2 \times 3 \times y \times y)$

Taking 2 and y common from both the terms, we get,
$= 2 y (x + 3 y)$

$2 y (x + 3 y) is the factorisation of 2 x y + 6 y^{2} .$

Suggest Corrections

Similar questions

({7 x}^{2} - 2 x y - {6 y}^{2}) + ({9 y}^{2} + 12 x y - {12 x}^{2}) - (8 x y + {2 y}^{2} - {3 x}^{2})

6 (x^{2} + 2 x y - 3 y^{2}), 4 (x^{2} - 3 x y + 2 y^{2}), 8 (x^{2} + x y - 6 y^{2})

The two adjacent sides of a rectangle are 5 $x^{2}$ - 3 $y^{2}$ and $x^{2}$ + 2 $x y$ . Find its perimeter.

(4 x^{2} - 7 x y + 4 y^{2} - 3), (5 + 6 y^{2} - 8 x y + x^{2})

(6 - 2 x y + 2 x^{2} - 5 y^{2})

The common factors of $2 x y + 6 y^{2}$ are:

Join BYJU'S Learning Program