Write the binomial expansion of the expression.
-$( 5 x - 1 ) ^ { 4 }$
A) $625 x ^ { 3 } - 500 x ^ { 2 } + 150 x - 20$
B) $625 x ^ { 4 } - 500 x ^ { 3 } + 150 x ^ { 2 } - 20 x + 1$
C) $\left( 25 x ^ { 2 } - 5 x + 1 \right) ^ { 4 }$
D) $- 625 x ^ { 4 } + 500 x ^ { 3 } + 150 x ^ { 2 } + 20 x + 1$

Question

Quizplus · Accepted Answer

The correct expansion of $(5x - 1)^4$ using the binomial theorem is $625x^4 - 500x^3 + 150x^2 - 20x + 1$, which matches option B. This is calculated by applying the binomial coefficients from Pascal's triangle to each term in the expansion.

Write the Binomial Expansion of the Expression (5x−1)4( 5 x - 1 ) ^ { 4 }(5x−1)4

Write the Binomial Expansion of the Expression $( 5 x - 1 ) ^ { 4 }$