Respuesta :

[ Answer ]

[tex]\boxed{5x^{2} \ + \ 13x \ + \ 27}[/tex]

[ Explanation ]

  • Simplify: 5(x + 3)(x + 2) - 3(x2 + 2x + 1)

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  • Add Similar Elements: 2x + 2x = 4x

5(x + 3)(x + 2) - 3(4x + 1)

  • Expand: 5(x + 3)(x + 2) - 3(4x + 1): [tex]5x^{2}[/tex] + 25x + 30

[tex]5x^{2}[/tex] + 25x + 30 - 3(4x + 1)

  • Expand: - 3(4x + 1): -12x - 3

[tex]5x^{2}[/tex] + 25x + 30 - 12x - 3

  • Simplify: [tex]5x^{2}[/tex] + 25x + 30 - 12x - 3: [tex]5x^{2}[/tex] + 13x + 27

= [tex]5x^{2}[/tex] + 13x + 27

[tex]\boxed{[] \ Eclipsed \ []}[/tex]