Use the binomial formula to expand the binomial.
-$( g - 2 h ) ^ { 3 }$
A) $g ^ { 3 } - 6 g ^ { 2 } h + 12 g h ^ { 2 } - 8 h ^ { 3 }$
B) $g ^ { 3 } + 6 g ^ { 2 } h - 12 g h ^ { 2 } + 8 h ^ { 3 }$
C) $g ^ { 3 } - 8 g ^ { 2 } h + 12 g h ^ { 2 } - 6 h ^ { 3 }$
D) $g ^ { 3 } - 6 g h + 12 g h ^ { 2 } - 8 h ^ { 3 }$

Question

Quizplus · Accepted Answer

The binomial formula for the expansion of $(a - b)^n$ is given by $\sum_{k=0}^{n} \binom{n}{k} a^{n-k}(-b)^k$. Applying this to $(g - 2h)^3$, we get $g^3 - 3(g^2)(2h) + 3(g)(2h)^2 - (2h)^3$, which simplifies to $g^3 - 6g^2h + 12gh^2 - 8h^3$.

Use the Binomial Formula to Expand the Binomial (g−2h)3( g - 2 h ) ^ { 3 }(g−2h)3

Use the Binomial Formula to Expand the Binomial $( g - 2 h ) ^ { 3 }$