Question

x raised to the power 4 - 625
${x}^{2} - 625$

Answer 1

Probably we have to factorize the given term.

Given to Factorize :

x ^ 4 - 625

=> ( x ^ 2 ) ^ 2 - ( 25 ) ^ 2
=> ( x ^ 2 + 25 ) ( x ^ 2 - 25 )
=> ( x ^ 2 + 25 ) { ( x ) ^ 2 - ( 5 ) ^ 2 }
=> ( x ^ 2 + 25 ) ( x + 5 ) ( x - 5 )

Therefore,

The required answer is ( x ^ 2 + 25 ) ( x + 5 ) ( x - 5 )

We can write the given term as follows :

x ^ 4 - 625 = ( x ^ 2 + 25 ) ( x + 5 ) ( x - 5 )

Answer 2

Hey dear here is your answer!!!!!

___________________________

Here, we are required to factorize the following expression:-

x⁴ - 625

Re-write it as:-

= ( x² )² - ( 25 )²

= ( x² + 25 ) ( x² - 25 )            ...[a² - b² = (a+b)(a-b) ]

= ( x² + 25 ) [ (x)² - (5)² ]         ...[a² - b² = (a+b)(a-b) ]

= ( x² + 25 ) ( x + 5 ) ( x - 5 )

So, the expression x⁴ - 625 can be factorized as (x²+25)(x+5)(x-5) !

$\large\boxed{\large\boxed{\large\boxed{Solved !}}}}$

❣️⭐ Hope it helps you dear...⭐⭐❣️❣️