Math, asked by pranavchhabra, 6 months ago

factorize x^8 - y^8​

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Answered by ak6789976555677
4

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Answered by Anonymous
25

Hi there!

Your Answer :-

 \bf{x}^{8}  -  {y}^{8}

 \bf{( {x}^{4} )}^{2}  -  {( {y}^{4} )}^{2}

Use Identity of a²-b² = (a+b)(a-b).

 \bf( {x}^{4}  +  {y}^{4} )( {x}^{4}  -  {y}^{4} )

\bf( {x}^{4}  +  {y}^{4} )(( { {x}^{2} )}^{2}  -  { ({y}^{2}) }^{2} )

\bf( {x}^{4}  +  {y}^{4} )( {x}^{2}  +  {y}^{2} )( {x}^{2}  -  {y}^{2} )

\bf( {x}^{4}  +  {y}^{4} )( {x}^{2}  +  {y}^{2} )(x + y)(x - y)

Thanks!

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