Which of the following is the correct factorization of 27x^{3}-1? (3x-1)(3x^{2}+x+1) (3x+1)(9x^{2}-3x+1) (3x-1)(9x^{2}+3x+1) (3x-1)(9x^{2}+3x-1)

Agohofidov6

Agohofidov6

Answered question

2021-12-07

Which of the following is the correct factorization of 27x31?
(3x1)(3x2+x+1)
(3x+1)(9x23x+1)
(3x1)(9x2+3x+1)
(3x1)(9x2+3x1)

Answer & Explanation

amarantha41

amarantha41

Beginner2021-12-08Added 38 answers

Step 1
which of the following is the correct factorization of 27x31?
27x31
(3x)3(1)3
Step 2
27x31
(3x)3(1)3
Use a3b3=(ab)(a2+b2+ab)
(3x)3(1)3(3x1)[(3x)2+(1)2+3x×1]
27x31(3x1)[9x2+1+3x]
(Option C)

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