Expand a Binomial Raised to a Power
-$$( x + 2 ) ^ { 3 }$$
A) $x ^ { 3 } + 6 x ^ { 2 } + 12 x + 8$
B) $x ^ { 3 } + 2 x ^ { 2 } + 4 x + 8$
C) $3 x + 6$
D) $x ^ { 3 } + 8$

Name: Expand a Binomial Raised to a Power -\[( x + 2 ) ^ { 3 }\] A) $x ^ { 3 } + 6 x ^ { 2 } + 12 x + 8$ B) $x ^ { 3 } + 2 x ^ { 2 } + 4 x + 8$ C) $3 x + 6$ D) $x ^ { 3 } + 8$
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Question

Quizplus · Accepted Answer

To expand $(x + 2)^3$, apply the binomial theorem or distribute the terms manually: $x^3 + 3(x^2)(2) + 3(x)(2^2) + 2^3 = x^3 + 6x^2 + 12x + 8$.

Expand a Binomial Raised to a Power - (x+2)3( x + 2 ) ^ { 3 }(x+2)3

Expand a Binomial Raised to a Power
- $( x + 2 ) ^ { 3 }$