Question

What is the completely factored form of p4 - 16?

Answer 1

The completely factored form of p^4-16 is:

$(p^2+4)(p+2)(p-2)$

Step-by-step explanation:

We have to factorize the given expression to get the final result

Given

$p^4-16\\Using\ Formula: a^2-b^2=(a+b)(a-b)\\(p^2)^2-(4)^2\\=(p^2+4)(p^2-4)$

p^2-4 can further be factored again

$=(p^2+4)[(p)^2-(2)^2]\\=(p^2+4)(p+2)(p-2)$

The completely factored form of p^4-16 is:

$(p^2+4)(p+2)(p-2)$

Keywords: Factorization

Learn more about factorization at:

• brainly.com/question/9323337
• brainly.com/question/9381080

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