Simplify: $6(x ^ 3 - 2x ^ 2 + 3x) - (x ^ 3 + 2x

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Simplify:

6(x ^ 3 - 2x ^ 2 + 3x) - (x ^ 3 + 2x - 3)

A $5x ^ 3 - 12x ^ 2 + 16x + 3$

B $5x ^ 3 - 12x ^ 2 + 16x - 3$

C $5x ^ 3 + 12x ^ 2 + 16x - 3$

D $5x ^ 3 +12x ^ 2 + 16x + 3$

Answer:

5x ^ 3 - 12x ^ 2 + 16x + 3

$6(x^3-2x^2+3x)-(x^3+2x-3)$

$6x^3-12x^2+18x-x^3-2x+3$

$5x^3+12x^2+16x+3$

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