Find y .
-$$y = ( 3 x - 2 ) \left( 3 x ^ { 3 } - x ^ { 2 } + 1 \right)$$
A) $27 x ^ { 3 } + 27 x ^ { 2 } - 9 x + 3$
B) $9 x ^ { 3 } + 9 x ^ { 2 } - 27 x + 3$
C) $36 x ^ { 3 } - 27 x ^ { 2 } + 4 x + 3$
D) $36 x ^ { 3 } - 9 x ^ { 2 } + 27 x + 3$

Question

Quizplus · Accepted Answer

Use the distributive property to multiply the expression inside the parentheses by 3x and then by -2, and then simplify by combining like terms:
\begin{align*}
y &= (3x-2)(3x^3-x^2+1) \
&= 9x^4-3x^3+x-6x^3+2x^2-2+3x-2x^2+1 \
&= 9x^4-9x^3+5x^2+3x-1 \
&= 36x^3-27x^2+4x+3
\end{align*}
Therefore, the best choice is C.

Find Y - y=(3x−2)(3x3−x2+1)y = ( 3 x - 2 ) \left( 3 x ^ { 3 } - x ^ { 2 } + 1 \right)y=(3x−2)(3x3−x2+1)

Find Y
- $y = ( 3 x - 2 ) \left( 3 x ^ { 3 } - x ^ { 2 } + 1 \right)$