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
Answers
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
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