The binomial p⁴-16 is a distinction of squares. This is because p⁴ is a perfect square, together is 16. This way we can write it together the sum of the square roots multiplied through the difference of the square roots:

(p²+4)(p²-4)

The an initial binomial, p²+4, can not be factored any type of further.

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The second binomial, p²-4, is one more difference that squares, since p² is a perfect square, together is 4:

(p+2)(p-2)

This provides us

(p²+4)(p+2)(p-2)





The fully factored type of p^4-16 is:

Step-by-step explanation:

We need to factorize the given expression to gain the final result

Given

*

p^2-4 can more be factored again

*
\\=(p^2+4)(p+2)(p-2)" />

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

Keywords: Factorization

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