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Xelga [282]
3 years ago
8

The polynomial x3 + 8 is equal to

Mathematics
2 answers:
Butoxors [25]3 years ago
4 0

Answer=  A (×+2)(×2-2×+4).

mylen [45]3 years ago
3 0
The answer is: [A]:  (x + 2) (x² − 2x + 4).
_______________________________
Explanation:
_____________________________
Note the formula:
___________________
a³ + b³ = (a + b) (a² − ab + b²)<span> 
_________________________________
x</span>³ + 8 can be written as x³ + 2³ ; since 2³ = 8
______________________________
So, using the formula:
_____________________
a³ + b³ = (a + b) (a² − ab + b²) ; 
______________________________
x³ + 8 ; or, x³ + 2³ ; can be factored; where a = x and b = 2.
__________________________________
→ Substitute these values for "a" and "b"; and rewrite:
__________________________________
→ x³ + 2³ = (x + 2) (x² - x*2 + 2²) ;
__________________________________
→ Simplify, and rewrite as:
__________________________________
→x³ + 8 = x³ + 2³ = (x + 2) (x² − 2x + 4) ;
__________________________________
→which is our first answer choice, "[A]".
_________________________________________
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