Respuesta :

Answer:

12[tex]x^{2}[/tex]  + 29x - 14

Step-by-step explanation:

(3x+2)(4x-7)

Multiply out 3x first then 2

(3x * 4x) - (3x * -7) + (2 * 4x) + (2 * -7)

12[tex]x^{2}[/tex] - (- 21x) + 8x + ( -14)

12[tex]x^{2}[/tex] + 21x + 8x - 14    Combine like terms

12[tex]x^{2}[/tex]  + 29x - 14

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{12 {x}^{2} - 13x - 14}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(3x + 2)(4x - 7)}[/tex]

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

[tex] \longrightarrow{ \sf{3x(4x - 7) + 2(4x - 7)}}[/tex]

[tex] \dashrightarrow{ \sf{12 {x}^{2} - 21x + 8x - 14}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{12 {x}^{2} - 13x - 14}}[/tex]

Hope I helped!

Best regards! :D