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What is the completely factored form of p4 - 16?

2 Answers

5 votes

Answer:(p - 2)(p + 2)(p² + 4)

Explanation:

User Tristan Richard
by
8.4k points
4 votes

Answer:

see explanation

Explanation:

Given


p^(4) - 16 ← difference of 2 squares and factors in general as

a² - b² = (a - b)(a + b)


p^(4) - 16

= (p² )² - 4²

= (p² - 4)(p² + 4) ← (p² - 4) is also a difference of squares

= (p - 2)(p + 2)(p² + 4)

User Sephrial
by
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