Perform the indicated operation and simplify. $( 3 - 2 y ) ^ { 3 }$
A) $- 8 y ^ { 3 } + 36 y ^ { 2 } - 54 y + 27$
B) $8 y ^ { 3 } - 36 y ^ { 2 } + 54 y - 27$
C) $- 8 y ^ { 3 } + 31 y ^ { 2 } - 54 y + 30$
D) $- 8 y ^ { 3 } + 54 y ^ { 2 } - 36 y + 27$
E) $8 y ^ { 3 } - 31 y ^ { 2 } + 54 y - 30$

Question

Quizplus · Accepted Answer

To simplify $(3 - 2y)^3$, we can expand it using the binomial theorem or by multiplying $(3 - 2y)(3 - 2y)(3 - 2y)$. The correct expansion results in $-8y^3 + 36y^2 - 54y + 27$, which matches option A.

Perform the Indicated Operation and Simplify (3−2y)3( 3 - 2 y ) ^ { 3 }(3−2y)3

Perform the Indicated Operation and Simplify $( 3 - 2 y ) ^ { 3 }$