Respuesta :

Answer:

c = 4

Step-by-step explanation:

In a perfect square trinomial, the following relationship is true:

[tex](x+y)^2=x^2+2xy+y^2[/tex]

In order for the given expression to be a perfect square trinomial:

[tex]x^2=x^2\\4x=2xy\\c=y^2[/tex]

Solving for 'c':

[tex]4x=2xy\\y=2\\c=y^2=2^2\\c=4[/tex]

Therefore, c must be equal to 4.

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