State True or False.
$x^{4} - (2 y - 3 z)^{2} =$ $(x^{2} - 2 y + 3 z) (x^{2} + 2 y - 3 z)$

True

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

False

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

Open in App

Solution

The correct option is A True
$x^{4} - (2 y - 3 z)^{2} = [(x^{2})^{2} - (2 y - 3 z)^{2}]$
$= [(x^{2} + (2 y - 3 z)] [(x^{2} - (2 y - 3 z)]$
$= (x^{2} + 2 y - 3 z) (x^{2} - 2 y + 3 z)$

Suggest Corrections

Similar questions

4 y^{2} - 4 y + 1

= (2 y - 1) (2 y - 1)

\frac{(x + 2 y)^{2}}{x y} + \frac{(2 y + 3 z)^{2}}{y z} + \frac{(3 z + x)^{2}}{z x}

x + 2 y + 3 z = 0

x^{3} + 4 y^{3} + 9 z^{3} = 18 x y z;

\frac{(x + 2 y)^{2}}{x y} + \frac{(2 y + 3 z)^{2}}{y z} + \frac{(3 z + x)^{2}}{z x}

b^{2} y - 9 b^{2} y + 2 b^{2} y - 5 b^{2} y

- 11 b^{2} y

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

6 x^{2} - x y - 2 y^{2}

Join BYJU'S Learning Program