$(x+3 y)^{3}$
A) $3(x+3 y)$
B) $x^{3}+27 y^{3}$
C) $x^{3}+9 x^{2} y+27 x y^{2}+27 y^{3}$
D) $x^{3}+3 x^{2} y+6 x y+9 x y^{2}+18 y^{2}+27 y^{3}$

Name: $(x+3 y)^{3}$ A) $3(x+3 y)$ B) $x^{3}+27 y^{3}$ C) $x^{3}+9 x^{2} y+27 x y^{2}+27 y^{3}$ D) $x^{3}+3 x^{2} y+6 x y+9 x y^{2}+18 y^{2}+27 y^{3}$
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Question

Quizplus · Accepted Answer

The correct expansion of $(x+3y)^3$ is obtained by applying the binomial theorem, resulting in $x^3 + 3(x^2)(3y) + 3(x)(3y)^2 + (3y)^3$, which simplifies to $x^3 + 9x^2y + 27xy^2 + 27y^3$.

(x+3y)3(x+3 y)^{3}(x+3y)3 A) 3(x+3y)3(x+3 y)3(x+3y) B) x3+27y3x^{3}+27 y^{3}x3+27y3 C) x3+9x2y+27xy2+27y3x^{3}+9 x^{2} y+27 x y^{2}+27 y^{3}x3+9x2y+27xy2+27y3

$(x+3 y)^{3}$ A) $3(x+3 y)$ B) $x^{3}+27 y^{3}$ C) $x^{3}+9 x^{2} y+27 x y^{2}+27 y^{3}$