What is the completely factored form of p^4 – 16? (p-2) (p+2) ( p^2+4)

IndologietVy

IndologietVy

Answered question

2022-12-04

What is the completely factored form of p 4 16? ( p 2 ) ( p + 2 ) ( p 2 + 4 )

Answer & Explanation

Zariah Taylor

Zariah Taylor

Beginner2022-12-05Added 4 answers

Answer:
( p 2 ) ( p + 2 ) ( p 2 + 4 )
Step-by-step explanation:
p 4 16 ( p 2 ) 2 4 2
This is the difference of squares
( a 2 b 2 ) = ( a b ) ( a + b ) ( p 2 4 ) ( p 2 + 4 )
Rewriting
( p 2 2 2 ) ( p 2 + 4 )
We have another difference of squares
( p 2 ) ( p + 2 ) ( p 2 + 4 )

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