Respuesta :

Answer:

[tex] \huge ( {2d}^{2} + 5)(d + 3)(d - 3)[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • factoring
  • PEMDAS

given:

  • [tex]2d^4-13d^2-45[/tex]

let's solve:

[tex]2d^4-13d^2-45[/tex]

[tex]2 {d}^{4} + 5 {d}^{2} - 18 {d}^{2} - 45 \\ {d}^{2} ( {2d}^{2} + 5) - 9( {2d}^{2} + 5) \\ ( {2d}^{2} + 5)( {d}^{2} - 9 )\\ ( {2d}^{2} + 5)(d + 3)(d - 3)[/tex]