Respuesta :

Answer:

What goes in the blank is 2

Step-by-step explanation:

In this question, we want to know what goes into the bracket when factorizing the expression above.

What we have a problem with is the terms x^2 - 4x + 4

We can rewrite this as;

x^2 -2x - 2x + 4

x(x-2) -2(x - 2)

That would thus be (x-2)^2

What goes into the bracket is thus the number 2

The 2 should be filled to the given equation.

Given that,

  • The equation is [tex]x^2 - 4x + 4 = 20[/tex].

Based on the above information, the calculation is as follows:

[tex](x - 2)^2 = 20\\\\x^2 + 4 - 2(x) (2) = 20\\\\x^2 + 4 - 4x = 20[/tex]

Therefore we can conclude that The 2 should be filled to the given equation.

Learn more: brainly.com/question/17429689

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