$(3 x + 2)^{2} - (3 x - 2)^{2}$ = .

24 x

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

- 24 x

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

2 (9 x^{2} + 4

)

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

2 (9 x^{2} - 4

)

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

Open in App

Solution

The correct option is A $24 x$
Given: $(3 x + 2)^{2} - (3 x - 2)^{2} .$

Using the identity $(a + b)^{2} = a^{2} + 2 a b + b^{2}$
and
$(a - b)^{2} = a^{2} - 2 a b + b^{2},$
the above expression can be written as,
$(3 x + 2)^{2} - (3 x - 2)^{2} = (9 x^{2} + 12 x + 4) - (9 x^{2} - 12 x + 4)$
$= 9 x^{2} + 12 x + 4 - 9 x^{2} + 12 x - 4$
$= 24 x$

Suggest Corrections