Perform the Indicated Operations and Simplify $\left( 7 y ^ { 2 n } - 4 y ^ { n } + 2 \right) + \left( 4 y ^ { 2 n } + 2 y ^ { n } - 4 \right)$

question 19

Multiple Choice

Perform the indicated operations and simplify.
- $\left( 7 y ^ { 2 n } - 4 y ^ { n } + 2 \right) + \left( 4 y ^ { 2 n } + 2 y ^ { n } - 4 \right)$

• A) \(6 y ^ { 2 n } + 9 y ^ { n } - 8\)
• B) \(7 y ^ { 3 n }\)
• C) \(11 y ^ { 4 n } - 2 y ^ { 2 n } - 2\)
• D) \(11 y ^ { 2 n } - 2 y ^ { n } - 2\)

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Definitions:

Carbon Atoms

The basic building blocks of the vast majority of organic compounds, capable of forming strong covalent bonds due to their tetravalency.

Hydrogen Atoms

The simplest type of atoms consisting of one proton and one electron, fundamental in chemistry and the building blocks of molecules.

Alkane Name

The systematic nomenclature assigned to alkanes based on the number of carbon atoms in their longest chain and specific rules.

Triacontane

A saturated hydrocarbon with a chemical formula of C30H62, commonly found in waxes.