Respuesta :

Answer:

100-36x^2y^2

Step-by-step explanation:

100-36x^2y^2 =

(10-6xy)(10+6xy)

Because x^2-y^2 = (x+y)(x-y)

The equation that shows a perfect square trinomial is 100 - 36x²y²

What is a perfect square trinomial?

A perfect square trinomial refers to the square of a binomial expression that can be written in the form (x +y)².

From the given information, we have the following equations:

  • 50y² - 4x²
  • 100 - 36x²y²
  • 16x² + 24xy + 9y²
  • 49x² - 70xy + 10y²

50y² - 4x² = 2(25y² - 2x²)

100 - 36x²y² = (10-6xy)(10+6xy)

Learn more about perfect square trinomial here:

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