Use the binomial theorem to expand the expression.
-$( 4 x + 3 ) ^ { 3 }$
A) $16 x ^ { 2 } + 24 x + 9$
B) $64 x ^ { 3 } + 144 x ^ { 2 } + 108 x + 27$
C) $64 x ^ { 3 } + 144 x ^ { 2 } + 144 x + 27$
D) $16 x ^ { 6 } + 12 x ^ { 3 } + 729$

Question

Quizplus · Accepted Answer

The binomial theorem states that $(a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k}b^k$. Applying this to $(4x + 3)^3$, we get $64x^3 + 144x^2 + 108x + 27$.

Use the Binomial Theorem to Expand the Expression (4x+3)3( 4 x + 3 ) ^ { 3 }(4x+3)3

Use the Binomial Theorem to Expand the Expression $( 4 x + 3 ) ^ { 3 }$