Respuesta :

mhanifa

Answer:

  • D. 2x⁴ + 9x³ + 12x² + 3x - 2

Step-by-step explanation:

Multiply:

  • (x² + 3x + 2)(2x² + 3x - 1) =
  • x²(2x² + 3x - 1) + 3x(2x² + 3x - 1) + 2(2x² + 3x - 1) =
  • 2x⁴ + 3x³ - x² + 6x³ + 9x² - 3x + 4x² + 6x - 2 =
  • 2x⁴ + 9x³ + 12x² + 3x - 2

Correct choice is D

[tex]\\ \tt\longmapsto (x^2+3x+2)(2x^2+3x-1)[/tex]

Apply distributive law

  • a(b+c)=ab+ac

[tex]\\ \tt\longmapsto x^2(2x^2+3x-1)+3x(2x^2+3x-1)+2(2x^2+3x-1)[/tex]

[tex]\\ \tt\longmapsto 2x^4+3x^3-x^2+6x^3+9x^2-3x+4x^2+6x-2[/tex]

[tex]\\ \tt\longmapsto 2x^4+9x^3+12x^2+3x-2[/tex]