bethmyles0003 bethmyles0003
  • 14-06-2022
  • Mathematics
contestada

multiply (1/3√x-3/2√y)^2

Respuesta :

WonderlandWanderer
WonderlandWanderer WonderlandWanderer
  • 14-06-2022

Answer: [tex]\frac{x}{9} -\sqrt{xy} +\frac{9y}{4}[/tex]

Step-by-step explanation:

  • [tex](a - b)^2 = a^2 - 2ab + b^2[/tex]

[tex](\frac{\sqrt{x} }{3} -\frac{3\sqrt{y} }{2} )^2=(\frac{\sqrt{x} }{3} )^2-2*\frac{\sqrt{x} }{3} *\frac{3\sqrt{y} }{2} +(\frac{3\sqrt{y} }{2} )^2 = \frac{x}{9} -\sqrt{x} \sqrt{y} +\frac{9y}{4} =\frac{x}{9} -\sqrt{xy} +\frac{9y}{4}[/tex]

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