MacarenaYague1115 MacarenaYague1115
  • 14-08-2018
  • Mathematics
contestada

If 3x-6y = 9z, which of the following expressions is equivalent to x^2-4xy+4y^2?

A. 9z
B. 3z^2
C. 9z^2
D. 81z^2

I need help on how to solve this problem, thank you.

Respuesta :

Nevens
Nevens Nevens
  • 14-08-2018

The first and the difficult thing is you need to tell that

x^2-4xy+4y^2 = ( x - 2y )^2

so from question you know 3x - 6y = x - 2y = 9z

finial : ( x - 2y )^2 = ( 9z )^2=81z^2

so the answer is D . Hope this would help you .

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