Jasten
Jasten Jasten
  • 23-01-2019
  • Mathematics
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What is the factored form of the expression?

16x^2 + 24x + 9

Respuesta :

DelcieRiveria DelcieRiveria
  • 23-01-2019

Answer:

The factor form of the given expression is [tex](4x+3)^2[/tex].

Step-by-step explanation:

The given expression is

[tex]16x^2+24x+9[/tex]

The middle term can be written as [tex]12x+12x[/tex].

[tex]16x^2+12x+12x+9[/tex]

[tex]4x(4x+3)+3(4x+3)[/tex]

[tex](4x+3)(4x+3)[/tex]

[tex](4x+3)^2[/tex]

Therefore the factor form of the given expression is [tex](4x+3)^2[/tex].

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