Question

factorise P power 4 - 256​

Answer 1

Answer:

p⁴ - 256

On Equating with 0....

p⁴- 256 = 0

p⁴ = 256

$p \: = \sqrt[4]{256}$

=> p = ±4

Answer 2

Answer:

( p² + 16 ) ( p + 4 ) ( p - 4 )

Step-by-step explanation:

Given----> p⁴ - 256

To find----> Factorise the given expression

Solution----> We have an identity,

a² - b² = ( a + b ) ( a - b )

Now,

p⁴ - 256 = ( p² )² - ( 16 )²

Applying above identity , we get,

= ( p² + 16 ) ( p² - 16 )

= ( p² + 16 ) { ( p )² - ( 4 )² }

Applying above identity again , we get,

= ( p² + 16 ) ( p + 4 ) ( p - 4 )

Additional identity ---->

1) ( a + b )² = a² + b² + 2ab

2) ( a - b )² = a² + b² - 2ab

3) ( a + b )³ = a³ + b³ + 3ab ( a + b )

4) ( a - b )³ = a³ - b³ - 3ab ( a - b )