Perform the indicated operations. Express the answer as a single polynomial in standard form.
-$$( 6 y + 11 ) \left( 3 y ^ { 2 } - 2 y - 9 \right)$$
A) $18 y ^ { 3 } + 21 y ^ { 2 } - 76 y - 99$
B) $18 y ^ { 3 } - 12 y ^ { 2 } - 54 y + 11$
C) $18 y ^ { 3 } + 45 y ^ { 2 } + 76 y + 99$
D) $51 y ^ { 2 } - 34 y - 153$

Question

Quizplus · Accepted Answer

The expression is expanded using the distributive property: $6y(3y^2 - 2y - 9) + 11(3y^2 - 2y - 9)$, resulting in $18y^3 - 12y^2 - 54y + 33y^2 - 22y - 99$. Combining like terms gives $18y^3 + 21y^2 - 76y - 99$.

Perform the Indicated Operations (6y+11)(3y2−2y−9)( 6 y + 11 ) \left( 3 y ^ { 2 } - 2 y - 9 \right)(6y+11)(3y2−2y−9)

Perform the Indicated Operations $( 6 y + 11 ) \left( 3 y ^ { 2 } - 2 y - 9 \right)$