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Hatshy [7]
3 years ago
9

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!! Factor. 64x^9 − 125y^6

Mathematics
1 answer:
shepuryov [24]3 years ago
7 0

Identity:  \\ \boxed{  {a}^{3}   -  {b}^{3}  = (a - b)( {a}^{2}  + ab +   {b}^{2}) } \\  \\ 64 {x}^{9}  - 125 {y}^{6}  \\    \\ =  {(4 {x}^{3} )}^{3}  -  {(5 {y}^{2} )}^{3}  \\ \\   = (4 {x}^{3}  - 5 {y}^{2} )( \:  {(4 {x}^{3} )}^{2}  + 4 {x}^{3}  \times 5 {y}^{2}  +  {(5 {y}^{2} )}^{2}  \: ) \\  \\  = (4 {x}^{3}  - 5 {y}^{2} )(16 {x}^{6}  + 20 {x}^{3}  {y}^{2}  + 25 {y}^{4} )
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