Math, asked by sharmas40269, 8 months ago

factories these questions x^9-y^9​

Answers

Answered by dangerousqueen01
2

Step-by-step explanation:

 {x}^{9}  -  {y}^{9}  \\  =  ([{ {x}^{3} }]^{3} ) -  ([{ {y}^{3} }]^{3} ) \\  = ( {x}^{3}  -  {y}^{3} )( {x}^{6} +   {x}^{3}   {y}^{3}  +  {y}^{6} ) \\  = (x - y)( {x}^{2}  + xy +  {y}^{2} )( {x}^{6} +   {x}^{3}   {y}^{3}  +  {y}^{6} )

Answered by Anonymous
1

 \huge{ \underline{ \bold{ᴀɴsᴡᴇʀ....{ \heartsuit}}}}

$$\begin{lgathered}{x}^{9} - {y}^{9} \\ = ([{ {x}^{3} }]^{3} ) - ([{ {y}^{3} }]^{3} ) \\ = ( {x}^{3} - {y}^{3} )( {x}^{6} + {x}^{3} {y}^{3} + {y}^{6} ) \\ = (x - y)( {x}^{2} + xy + {y}^{2} )( {x}^{6} + {x}^{3} {y}^{3} + {y}^{6} )\end{lgathered}$$

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