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docker41 [41]
2 years ago
10

Which expression is a perfect cube? -8^21y^8 -64x^64y^64 -125x^9y^20 -126x^9y^18

Mathematics
1 answer:
yanalaym [24]2 years ago
6 0
Hello,
Please, see the attached file.
Thanks.

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I think its C, not sure
Alona [7]
Yes; you are correct.
___________________________________________________
The correct answer is:
___________________________________________________
Answer choice:  [C]:  " x³ − 9x² + 23x <span>− 12 " .
___________________________________________________
Note: (a </span>− b) (c − d + e) = ac − ad + ae − bc + bd − be ;
___________________________________________________
          (x − 4) (x² <span>− 5x + 3) = 

   x * x</span>² = x³ <span>− 

   x * 5x = 5x</span>² + 

   x * 3   = 3x <span>−

   4 * x</span>²  = 4x² <span>−

   -4 * 5x =  -20x +

   -4 * 3 =  -12; 
________________________________________
</span>          (x − 4) (x² − 5x + 3) = 

x³ − 5x² + 3x −4x² − (-20x) + (-12) ;

=  x³ − 5x² + 3x −4x² + 20x − 12 ;

= x³ − 5x² − 4x² + 3x + 20x − 12 ;

= x³ − 9x²  + 23x − 12 ;  which is:
__________________________________________________
Answer choice:  [C]:  " x³ − 9x²  + 23x − 12 " .
__________________________________________________
7 0
3 years ago
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