Math, asked by dragonbeast, 1 year ago

factorise 2x^2-5xy-2y^2​

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Answered by Anonymous
8

SOLUTION:-

 {2x}^{2}  - 5xy -  {2y}^{2}  \\  \\  =  >  {2x}^{2}  - 5xy +  {2y}^{2}  = 0 \\  \\  =  >  {2x}^{2}  - 4xy - xy +  {2x}^{2}  = 0 \\  \\  =  > 2x(x -2y) - y(x - 2y) = 0 \\  \\  =  > (x - 2y)(2x - y) = 0 \\ \\   =  > x - 2y = 0 \:  \:  \: or \:  \:  \: 2x - y = 0 \\  \\  =  > x =   2y \:  \: or \:  \: 2x = y \\  \\  =  > x =  2y \: \:  \: or \:  \: x =  \frac{y}{2}

Hope it helps ☺️

Answered by MSACADEMY
3

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