Math, asked by kkirthika20, 14 hours ago

x⁶-y⁶ is equal to in cubic identies​

Answers

Answered by badolamamta68
1

Step-by-step explanation:

hope this helps you

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Answered by Asnaib
1

Step-by-step explanation:

 {x}^{6}  -  {y}^{6}  \\  { ({x}^{2}) }^{3}  - { ({y}^{2}) }^{3} \\

Identity:

 {a}^{3}  -  {b}^{3}  =  {(a - b)}^{3}   + 3ab(a - b)

Using it in our question:

 {x}^{2}  -  {y}^{2}  = ( {x}^{2}  -  {y}^{2} ) ^{3}  + 3 {x}^{2}  {y}^{2} (x - y) \\  =  ({x}^{2}  -  {y}^{2})( { ({x}^{2}) }^{2}  +  {x}^{2}  {y}^{2}  + { ({y}^{2}) }^{2}) \\ ({x}^{2}  -  {y}^{2})( {x}^{4}   +  {(xy)}^{2}  +  {y}^{4} )

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