Math, asked by krishnatosay, 2 months ago

factorize give answer fast please

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Answered by zeesoftzs
0

Step-by-step explanation:

 = 256 {x}^{4}  -  {x}^{2}  {y}^{2}  + 49 {y}^{4}  \\  = ( {16 {x}^{2}) }^{2}  + ( {7 {y}^{2} )}^{2}  + 2(16 {x}^{2} )(7 {y}^{2} ) - 2(16 {x}^{2} )(7 {y}^{2} ) -  {x}^{2}  {y}^{2}  \\   = (16{ {x}^{2} + 7 {y}^{2} })^{2}  - 224 {x}^{2}  {y}^{2}  -  {x}^{2}  {y}^{2}  \\  = (16{ {x}^{2} + 7 {y}^{2} })^{2} - 225 {x}^{2}  {y}^{2}  \\  = (16{ {x}^{2} + 7 {y}^{2} })^{2} - ( {15xy)}^{2}  \\  = (16{ {x}^{2} + 7 {y}^{2} } - 15xy)(16{ {x}^{2} + 7y}^{2} + 15xy)

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