Write the binomial expansion of the expression.
-$$\left( 4 x ^ { 2 } - 1 \right) ^ { 3 }$$
A) $64 x ^ { 6 } - 48 x ^ { 4 } + 12 x ^ { 2 } - 1$
B) $\left( 16 x ^ { 4 } - 8 x ^ { 2 } + 1 \right) ^ { 3 }$
C) $256 x ^ { 8 } + 64 x ^ { 6 } - 48 x ^ { 4 } + 12 x ^ { 2 } - 1$
D) $64 x ^ { 3 } - 48 x ^ { 2 } + 12 x - 1$

Question

Quizplus · Accepted Answer

The binomial expansion of $(a - b)^3$ is $a^3 - 3a^2b + 3ab^2 - b^3$. Applying this formula with $a = 4x^2$ and $b = 1$, we get $64x^6 - 48x^4 + 12x^2 - 1$.

Write the Binomial Expansion of the Expression (4x2−1)3\left( 4 x ^ { 2 } - 1 \right) ^ { 3 }(4x2−1)3

Write the Binomial Expansion of the Expression $\left( 4 x ^ { 2 } - 1 \right) ^ { 3 }$