islusiem islusiem
  • 25-06-2022
  • Mathematics
contestada

Maria expanded the following square as follows: (x+3)² =x²+9, is this correct?

Respuesta :

fieryanswererft
fieryanswererft fieryanswererft
  • 25-06-2022

Answer:

x² + 6x + 9

Explanation:

[tex]\sf = \left(x+3\right)^2[/tex]

Use perfect square formula: (a + b)² = a² + 2ab + b²

[tex]= \sf x^2 + 2(x) (3) + 3^2[/tex]

simplify the following

[tex]= \sf x^2 + 6x +9[/tex]

Hence Maria is not correct. The correct answer is x² + 6x + 9.

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