What will be the coefficient of $x y^{2}$ on solving $(4 x y + 3 y)^{2} - (4 x y - 3 y)^{2} ?$

48

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

12

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

25

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

64

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

Open in App

Solution

The correct option is A $48$
Given expression,
$(4 x y + 3 y)^{2} - (4 x y - 3 y)^{2}$

Let $(4 x y + 3 y) = a$ and $(4 x y - 3 y) = b$

Now applying the formula $a^{2} - b^{2} = (a + b) (a - b)$

$\Rightarrow [(4 x y + 3 y) + (4 x y - 3 y)] [(4 x y + 3 y) - (4 x y - 3 y)]$

$\Rightarrow [4 x y + 3 y + 4 x y - 3 y] [4 x y + 3 y - 4 x y + 3 y)]$

$\Rightarrow (8 x y) (6 y)$

$\Rightarrow (48 x y^{2})$

So, the coefficient of $x y^{2}$ is $48$ .

Suggest Corrections

Similar questions

In the expressions $x^{3} + 4 x y + 3 y^{2}$ and $3 x^{2} + 5 x y$ , which are the like terms?

x^{3} + 4 x y + 3 y^{2}

3 x^{2} + 5 x y

3 x^{2} + 4 x y - 7 y^{2} - 14 = 0

(- 1, 2)

90^{\circ}

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

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

3 x + 4 x y + 3 y^{2} + 2 x + 12 x y^{2}

Join BYJU'S Learning Program