Question

factorize (x^2-7)^2-(y+3z)^2​

Answer 1

Answer:

( x² + y + 3z - 7 ) ( x² - y - 3z - 7)

Step-by-step explanation:

Given :

To factorize : (x² - 7)² - (y + 3z)²

Solution :

We know this identity,

a² - b² = ( a + b ) ( a - b )

Hence,

y using this identity here, by substituting a = x² - 7 , b = y + 3z,

We get,

( x² - 7 )² - ( y + 3z )² = [ ( x - 7 ) + ( y + 3z ) ] [ ( x - 7 ) - ( y + 3z )]

⇒ [ x + y + 3z - 7 ] [ x - y - 3z - 7]