Darongarcia233 Darongarcia233
  • 25-08-2020
  • Mathematics
contestada

What is the product of the binomials below?
(2x +5)(3x+4)

O A. 6x² +23x +20
O B. 5x2 +23x +9
O C. 6x2 + 23x +9
O D. 5x2 +23x+20

Respuesta :

TheAnimeGirl
TheAnimeGirl TheAnimeGirl
  • 25-08-2020

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6 {x}^{2} + 23x + 20}}}}}[/tex]

Option A is the correct option.

Step-by-step explanation:

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

Use the distributive property to multiply each term of the first binomial by each term of the second binomial

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

⇒[tex] \sf{6 {x}^{2} + 8x + 15x + 20}[/tex]

Collect like terms

⇒[tex] \sf{6 {x}^{2} + 23x + 20}[/tex]

Hope I helped !

Best regards!!

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