Fidsoto Fidsoto
  • 25-11-2019
  • Mathematics
contestada

Help me solve this intermediate algebra problem

Help me solve this intermediate algebra problem class=

Respuesta :

KerryEye KerryEye
  • 01-12-2019

Answer:

x + 1 + 4√(x-3)

Step-by-step explanation:

Given: [tex]$ (\sqrt{x - 3} + 2)^2 $[/tex]

We know that:  (a + b)² = a² + b² + 2ab

Using this formula, we expand the given expression:

⇒ [tex]$ (\sqrt{x - 3} + 2)^2  = (\sqrt{x - 3})^2 + 2.\sqrt{x - 3}. 2 + 2^2 $[/tex]

⇒ [tex]$ x - 3 +4\sqrt{x - 3} + 4 $[/tex]

⇒ [tex]$ (\sqrt{x - 3} + 2)^2 $[/tex] = x + 1 +4√(x - 3).

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