arjava1008 arjava1008
  • 09-11-2018
  • Mathematics
contestada

Write as a product:

(2x+y)²–(x–2y)²

Respuesta :

thehumblevirus
thehumblevirus thehumblevirus
  • 09-11-2018

(2y - x )² = (x-2y)²  

So x(2y - x )² + 2x²(x - 2y)  

= x(x-2y)² + 2x²( x - 2y )  

= x(x-2y)[(x-2y) + 2x]  

= x(x-2y)(3x-2y)  

please check for mistakes.  

but this is the key idea: (2y-x)²=(x-2y)².

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