Which of the following is the correct factorization of x^{3}+8?

Agohofidov6 2021-12-19 Answered
Which of the following is the correct factorization of x3+8?
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Expert Answer

puhnut1m
Answered 2021-12-20 Author has 33 answers
Step 1
Given expression :
x3+8
Formula used:
x3+y3=(x+y)(x2xy+y2)
Step 2
Given expression x3+8 can be written as x3+23.
By applying the above formula sum of cube,
x3+23=(x+2)(x22x+22)
=(x+2)(x22x+4)
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Virginia Palmer
Answered 2021-12-21 Author has 27 answers
Step 1
Given:
x3+8
It can be written as :
x3+23
Step 2
Factorize :
use the formula : a3+b3=(a+b)(a2ab+b2)
k=x3+23
=(x+2)(x22x+4)
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