Expand a Binomial Raised to a Power
-$$( x + 4 y ) ^ { 3 }$$
A) $x ^ { 3 } + 12 x ^ { 2 } y + 48 x y ^ { 2 } + 64 y ^ { 3 }$
B) $x ^ { 3 } + 4 x ^ { 2 } y + 8 x y + 16 x y ^ { 2 } + 32 y ^ { 2 } + 64 y ^ { 3 }$
C) $3 x + 12 y$
D) $x ^ { 3 } + 64 y ^ { 3 }$

Question

Quizplus · Accepted Answer

The correct expansion of $(x + 4y)^3$ is obtained using the binomial theorem, which results in $x^3 + 3(x^2)(4y) + 3(x)(4y)^2 + (4y)^3$, simplifying to $x^3 + 12x^2y + 48xy^2 + 64y^3$.

Expand a Binomial Raised to a Power - (x+4y)3( x + 4 y ) ^ { 3 }(x+4y)3

Expand a Binomial Raised to a Power
- $( x + 4 y ) ^ { 3 }$