Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary: a^{3}-216

sibuzwaW

sibuzwaW

Answered question

2021-04-07

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
a3216

Answer & Explanation

Alannej

Alannej

Skilled2021-04-09Added 104 answers

Step 1
Given:
Polynomial a3216
To Find: To factorise the given polynomial
Step 2
Solution:
Let p(x)=a3216
p(x)=(a)3(6)3
We know that x3y3=(xy)(x2+xy+y2)
p(x)=(a6)(a2+(a×6)+62)
p(x)=(a6)(a2+6a+36)
Hence factors of the given polynomial =(a6)(a2+6a+36)

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