Expand a Binomial Raised to a Power
-$( 2 x - 1 ) ^ { 5 }$
A) $32 x ^ { 5 } - 80 x ^ { 4 } + 80 x ^ { 3 } - 40 x ^ { 2 } + 10 x - 1$
B) $32 x ^ { 5 } - 16 x ^ { 4 } + 8 x ^ { 3 } - 4 x ^ { 2 } + 2 x - 1$
C) $\left( 4 x ^ { 2 } - 4 x + 1 \right) ^ { 5 }$
D) $32 x ^ { 5 } + 10 x ^ { 4 } - 40 x ^ { 3 } - 40 x ^ { 2 } + 10 x - 1$

Question

Quizplus · Accepted Answer

The correct expansion of $(2x - 1)^5$ using the binomial theorem or Pascal's triangle results in $32x^5 - 80x^4 + 80x^3 - 40x^2 + 10x - 1$.

Expand a Binomial Raised to a Power - (2x−1)5( 2 x - 1 ) ^ { 5 }(2x−1)5

Expand a Binomial Raised to a Power
- $( 2 x - 1 ) ^ { 5 }$