Write the binomial expansion of the expression.
-$$( 5 x + 3 ) ^ { 3 }$$
A) $125 x ^ { 3 } + 225 x ^ { 2 } + 225 x + 27$
B) $25 x ^ { 2 } + 30 x + 9$
C) $125 x ^ { 3 } + 225 x ^ { 2 } + 135 x + 27$
D) $25 x ^ { 6 } + 15 x ^ { 3 } + 729$

Question

Quizplus · Accepted Answer

The binomial expansion of $(5x + 3)^3$ is calculated using the binomial theorem: $(a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k$. For $(5x + 3)^3$, it results in $125x^3 + 225x^2 + 135x + 27$.

Write the Binomial Expansion of the Expression (5x+3)3( 5 x + 3 ) ^ { 3 }(5x+3)3

Write the Binomial Expansion of the Expression $( 5 x + 3 ) ^ { 3 }$