Factor each polynomial. p^{4}-625

rheisf

rheisf

Answered question

2021-12-06

Factor each polynomial.
p4625

Answer & Explanation

Ella Williams

Ella Williams

Beginner2021-12-07Added 28 answers

Step 1
We use the identity
a2b2=(a+b)(ab)
Step 2
Given
p4625=p454=(p2+52)(p252) using the identity in step 1
Again
(p2+52)(p252)=(p2+52)(p+5)(p5)
(p2+52) cannot be factorized again in R. So we have
p4625=(p2+25)(p+5)(p5)

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