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PolarNik [594]
2 years ago
12

Factor 256x^3 - 500y^3

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
5 0
<span> (256 • (x3) - ( 2^2• 5^3 y^3)
______________________________________________________________
</span><span> 2^8 x^3 - ( 2^2 • 5^3 y^3)
</span>  
 256x^3 - 500y^3  =   4 • (64x^3 - 125y^3)<span> 
</span><span>
 64x^3 - 125y^3
</span>______________________________________________________________
<span>final factoization: 

(4x - 5y)  • </span><span> (16x^2 + 20xy + 25y^2)</span><span> </span> 

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