escojam20
contestada

Select the correct product. ( x2 + 6 x + 9)(3 x - 1) 3 x3 + 17 x2 + 21 x - 9 3 x3 - 17 x2 - 21 x - 9 3 x3 + 19 x2 + 27 x + 9 3 x3 + 19 x2 + 9 x - 9

Select the correct product x2 6 x 93 x 1 3 x3 17 x2 21 x 9 3 x3 17 x2 21 x 9 3 x3 19 x2 27 x 9 3 x3 19 x2 9 x 9 class=

Respuesta :

TheAnimeGirl

Answer:

[tex] \boxed{ \bold{{ \boxed{ \sf{3 {x}^{3} + 17 {x}^{2} + 21x - 9}}}}}[/tex]

Option A is the correct option.

Step-by-step explanation:

[tex] \sf{( {x}^{2} + 6x + 9)(3x - 1)}[/tex]

Use distributive property

⇒[tex]{ \sf{ {x}^{2} (3x - 1) + 6x(3x - 1) + 9(3x - 1)}}[/tex]

⇒[tex] \sf{3 {x}^{3} - {x}^{2} + 18 {x}^{2} - 6x + 27x - 9}[/tex]

Collect like terms

⇒[tex] \sf{3 {x}^{3} + 17 {x}^{2} + 21x - 9}[/tex]

Hope I helped!

Best regards! :D

Answer:

3x^3 + 17x^2 + 21x - 9

Step-by-step explanation:

Use distributive property.

First distribute the 3x

3x times x^2 + 6x + 9. Distribute = 3x^3 + 18x^ 2 + 27x

Now we distribute the -1

-1 times x^2 + 6x + 9. Distribute = -x^2 -6x - 9

We Add both answers-

  3x^3 + 18x^2 + 27x

+               -x^2     -6x - 9

__________________

3x^3 + 17x^2  + 21x - 9

Otras preguntas