jacariwilliams8 jacariwilliams8
  • 23-05-2019
  • Mathematics
contestada

If (x2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below?

(x + 2) ´ ______ = x2 – 4
x2 – 4
x – 2
x + 2
x2 – 2

Respuesta :

slicergiza slicergiza
  • 14-10-2019

Answer:

x - 2

Step-by-step explanation:

Given expression,

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

[tex]\frac{x^2-4}{x+2}=x-2[/tex]

Multplying both sides by x + 2 ( Division property of equality )

[tex]\frac{x^2-4}{x+2}\times (x+2)=(x-2)\times (x+2)[/tex]

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

[tex]\implies x^2-4=(x+2)(x-2)[/tex]  ( By commutative property )

Thus, SECOND OPTION is correct.

Answer Link
gymnast155 gymnast155
  • 14-10-2020

Answer:

X-2 is the correct answer! Edge 2020

Step-by-step explanation:

Answer Link

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