kzarralanga1233 kzarralanga1233
  • 16-12-2019
  • Mathematics
contestada

Which expression is equivalent to (2x + 4)2 – (2x2 + 6)?
2x2 + 16x - 2
2x2 + 16x + 10
4x2 + 16x + 10
4x² + 166- 2

Respuesta :

mintuchoubay
mintuchoubay mintuchoubay
  • 21-12-2019

Answer:

The correct option is B). [tex]2x^{2}+16x+10[/tex]

Step-by-step explanation:

Given function is [tex](2x+4)^{2}-(2x^{2} +6)[/tex]

On simplifying,

=[tex](2x+4)^{2}-(2x^{2} +6)[/tex]

=[tex][4x^{2}+16x+16]-(2x^{2} +6)[/tex]

=[tex]4x^{2}+16x+16-2x^{2}-6[/tex]

=[tex]2x^{2}+16x+10[/tex]

Thus, The correct option is B). [tex]2x^{2}+16x+10[/tex]

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