Multiply.
-$( 9 x - 1 ) \left( x ^ { 2 } - 2 x + 1 \right)$
A) $9 x ^ { 3 } - 17 x ^ { 2 } + 7 x - 1$
B) $9 x ^ { 3 } + 19 x ^ { 2 } - 11 x + 1$
C) $9 x ^ { 3 } - 19 x ^ { 2 } + 11 x - 1$
D) $9 x ^ { 3 } - 18 x ^ { 2 } + 9 x + 1$

Question

Quizplus · Accepted Answer

To solve this, distribute each term in the first polynomial across the second polynomial: $9x(x^2) - 9x(2x) + 9x(1) - 1(x^2) + 1(2x) - 1(1)$, which simplifies to $9x^3 - 18x^2 + 9x - x^2 + 2x - 1$, and further simplifies to $9x^3 - 19x^2 + 11x - 1$.

Multiply - (9x−1)(x2−2x+1)( 9 x - 1 ) \left( x ^ { 2 } - 2 x + 1 \right)(9x−1)(x2−2x+1)

Multiply
- $( 9 x - 1 ) \left( x ^ { 2 } - 2 x + 1 \right)$