Question

which expression is equivalent to ((x^{2}-3x + 1)(-6x + 5)) (\bigcirc -6x^{3}-13x^{2}+9x + 5) (\bigcirc -6x^{3}+23x^{2}-21x + 5) (\bigcirc x^{3}-9x + 6) (\bigcirc 6x^{3}+23x^{2}+21x + 5)

Explanation:

Step1: Distribute each term

Multiply $x^2$, $-3x$, $1$ by $(-6x+5)$:
$x^2(-6x+5) -3x(-6x+5) +1(-6x+5)$

Step2: Expand each product

Calculate each multiplied term:
$-6x^3 +5x^2 +18x^2 -15x -6x +5$

Step3: Combine like terms

Add terms with the same power of $x$:
$-6x^3 + (5x^2+18x^2) + (-15x-6x) +5 = -6x^3 +23x^2 -21x +5$

Answer:

$-6x^3 + 23x^2 -21x +5$ (second option)