Find the sum or difference.
-$$( x + 2 y ) ^ { 3 }$$
A) $x ^ { 3 } + 8 y ^ { 3 }$
B) $3 ( x + 2 y )$
C) $x ^ { 3 } + 6 x ^ { 2 } y + 12 x y ^ { 2 } + 8 y ^ { 3 }$
D) $x ^ { 3 } + 2 x ^ { 2 } y + 4 x y + 4 x y ^ { 2 } + 8 y ^ { 2 } + 8 y ^ { 3 }$

Question

Quizplus · Accepted Answer

The correct answer is obtained by expanding the cube of a binomial $(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3$, where $a = x$ and $b = 2y$, resulting in $x^3 + 6x^2y + 12xy^2 + 8y^3$.

Find the Sum or Difference (x+2y)3( x + 2 y ) ^ { 3 }(x+2y)3

Find the Sum or Difference $( x + 2 y ) ^ { 3 }$