Factorise $25 (x + 2 y)^{2} - 36 (2 x - 5 y)^{2}$ .

(4 x - 2 y) (3 x + 5 y)

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

(17 x - 20 y) (40 y - 7 x)

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

(17 x - 4 y) (31 x - 4 y)

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

(2 x - 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 $(17 x - 20 y) (40 y - 7 x)$
$25 (x + 2 y)^{2} - 36 (2 x - 5 y)^{2}$
$\Rightarrow 25 (x^{2} + 4 x y + 4 y^{2} - 36 (4 x^{2} - 20 x y + 25 y^{2})$
$\Rightarrow 25 x^{2} + 100 x y + 100 y^{2} - 144 x^{2} + 720 y - 900 y^{2}$
$\Rightarrow - 119 x^{2} + 820 x y - 800 y^{2}$
$\Rightarrow - 119 x^{2} + 680 x y + 140 x y - 800 y^{2}$
$\Rightarrow - 17 x (7 x - 40 y) + 20 y (7 x - 40 y)$
$\Rightarrow (17 x - 20 y) (40 y - 7 x)$

Suggest Corrections