Expand the Binomial by Using Pascal's Triangle to Determine the Coefficients

question 8

Essay

Expand the binomial by using Pascal's triangle to determine the coefficients. Show your work. $( 3 x + 2 y ) ^ { 6 }$

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Definitions:

Hanging Scroll

A form of traditional East Asian painting or calligraphy, mounted on fabric and hung vertically.

Poet on a Mountaintop

Refers to a famous painting by the Chinese artist Shen Zhou, symbolizing the unity of man with nature through the solitary figure of a poet.

Yuan Painter

Refers to artists active during the Yuan dynasty (1271–1368) in China, known for contributions to the development of Chinese landscape and literati painting.

Stalks of Bamboo by a Rock

Probably refers to a traditional subject in Chinese and East Asian art, symbolizing resilience, strength, and purity.