Math, asked by monikarajivchopra14, 1 year ago

x9y5-x5y9 factorise ​

Answers

Answered by Stera
6

 {x}^{9}  {y}^{5}  -  {x}^{5}  {y}^{9}  \\  \\  =  {x}^{5}  {y}^{5} ( {x}^{4}  -  {y}^{4} ) \\  \\  =  {x}^{5} {y}^{5}  (( { {x}^{2} })^{2}  -  { ({y}^{2} })^{2} ) \\  \\  =  {x}^{5}  {y}^{5} (( {x}^{2}  +  {y}^{2} )( {x}^{2}  -  {y}^{2} )) \\  \\  =  {x}^{5}  {y}^{5} ( {x}^{2}  +  {y}^{2})(x - y)(x + y)

Thus FACTORIZED

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