$Simplify : (3 x - 7 x)^{2} - (7 x - 3 x)^{2}$

14 x^{2}

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

28 x^{2}

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

0

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

21 x^{2}

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

Open in App

Solution

The correct option is C $0$
$(3 x - 7 x)^{2} - (7 x - 3 x)^{2}$

$We know that$
$(a - b)^{2} - (b - a)^{2}$
= $(a^{2} - 2 a b + b^{2}) - (b^{2} - 2 a b + a^{2})$
= $a^{2} - 2 a b + b^{2} - b^{2} + 2 a b - a^{2}$
= $0$
$Now, here a = 3 x and b = 7 x$ .

$Thus, (3 x - 7 x)^{2} - (7 x - 3 x)^{2} = 0$

Suggest Corrections