Answer:
[tex]D.[/tex] [tex]6x^3 + 14x^2 +2x - 6[/tex]
Step-by-step explanation:
(2x +2)(3x^2 + 4x - 3)
Simplify
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We are given one binomial and one polynomial and are asked to simplify it.
To solve, all we need to do is follow the FOIL rule :
First
Outer
Inner
Last
[tex](2x + 2)(3x^2 + 4x - 3)[/tex]
[tex]2x * 3x^2[/tex]
[tex]6x^3[/tex]
[tex]2x*4x[/tex]
[tex]6x^3 + 8x^2[/tex]
[tex]2x*-3[/tex]
[tex]6x^3 + 8x^2 - 6x[/tex]
Now go for 2 in the first bracket :
[tex]2*3x^2[/tex]
[tex]6x^3 + 8x^2 - 6x + 6x^2[/tex]
[tex]2*4x[/tex]
[tex]6x^3 + 8x^2 - 6x + 6x^2 + 8x[/tex]
[tex]2 * -3[/tex]
[tex]6x^3 + 8x^2 - 6x + 6x^2 + 8x - 6[/tex]
Combine like terms :
[tex]6x^3 + 14x^2 +2x - 6[/tex]
