Solve the problem.
-$$( x + 2 y ) ^ { 3 }$$
A) $x ^ { 3 } + 6 x ^ { 2 } y + 12 x y ^ { 2 } + 8 y ^ { 3 }$
B) $3 ( x + 2 y )$
C) $x ^ { 3 } + 2 x ^ { 2 } y + 4 x y + 4 x y ^ { 2 } + 8 y ^ { 2 } + 8 y ^ { 3 }$
D) $x ^ { 3 } + 8 y ^ { 3 }$

Question

Quizplus · Accepted Answer

To solve $(x + 2y)^3$, we use the binomial expansion formula $(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3$. Substituting $a = x$ and $b = 2y$, we get $x^3 + 3(x^2)(2y) + 3(x)(2y)^2 + (2y)^3$, which simplifies to $x^3 + 6x^2y + 12xy^2 + 8y^3$.

Solve the Problem (x+2y)3( x + 2 y ) ^ { 3 }(x+2y)3

Solve the Problem $( x + 2 y ) ^ { 3 }$