mt673005 mt673005
  • 01-09-2020
  • Mathematics
contestada

Multiply the polynomials. (x2 – 4) (x2 + 3x – 5)

Respuesta :

TheAnimeGirl
TheAnimeGirl TheAnimeGirl
  • 01-09-2020

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{ {x}^{4} + 3 {x}^{3} - 9 {x}^{2} - 12x + 20}}}}[/tex]

Step-by-step explanation:

[tex] \sf{( {x}^{2} - 4)( {x}^{2} + 3x - 5)}[/tex]

Use distributive property

[tex] \dashrightarrow{ \sf{ {x}^{2} ( {x}^{2} + 3x - 5) - 4( {x}^{2} + 3x - 5)}}[/tex]

[tex] \dashrightarrow{ \sf{ {x}^{4} + 3 {x}^{3} - 5 {x}^{2} - 4 {x}^{2} - 12x + 20}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ {x}^{4} +3 {x}^{3} - 9 {x}^{2} - 12x + 20}}[/tex]

Hope I helped!

Best regards! :D

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