Remove the Parentheses by Multiplying and Then Simplify by Combining $8 x \left( x ^ { 2 } - 4 x - 4 \right) + x \left( 7 x ^ { 2 } + 4 x - 5 \right)$

question 315

Multiple Choice

Remove the parentheses by multiplying and then simplify by combining similar terms. $8 x \left( x ^ { 2 } - 4 x - 4 \right) + x \left( 7 x ^ { 2 } + 4 x - 5 \right)$

• A) \(15 x ^ { 3 } - 28 x ^ { 2 } - 39 x\)
• B) \(15 x ^ { 3 } - 28 x ^ { 2 } - 37 x\)
• C) \(15 x ^ { 3 } - 30 x ^ { 2 } - 38 x\)
• D) \(16 x ^ { 3 } - 30 x ^ { 2 } - 37 x\)
• E) \(16 x ^ { 3 } - 28 x ^ { 2 } - 37 x\)

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Definitions:

Symmetry-Allowed

In quantum chemistry, a process or transition is symmetry-allowed if it does not violate symmetry rules governing molecular transformations.

Reaction Outcome

The final products, yields, and implications of a chemical reaction based on the reactants and conditions employed.

Major Organic Product

The primary substance produced with the highest yield in a reaction involving organic compounds.

Organic Reaction

A chemical reaction involving organic compounds, leading to the transformation or creation of new organic molecules.