Choose the correct simplification of (4x - 3)(3x^2 - 4x - 3).

A) 12x^3 + 25x^2 + 9
B) 12x^3 - 25x^2 - 9
C) 12x^3 + 25x^2 - 9
D) 12x^3 - 25x^2 + 9

Respuesta :


[tex](4x - 3)(3 {x}^{2} - 4x - 3)[/tex]
We can use a Punnett Square to FOIL this (picture attached).

From this, we find that is equals
[tex]12 {x}^{3} - 16 {x}^{2} - 12x \\ - 9 {x}^{2} + 12x + 9[/tex]
We can simplify this to equal
[tex]12 {x}^{3} - 25 {x}^{2} + 9[/tex]
This is answer D.
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