Use the binomial theorem to expand the expression.
-$(5 x-5 y)^{3}$
A) $25 x^{3} y-50 x^{2} y^{2}+25 x y^{3}$
B) $125 x^{3}-375 x^{2} y+375 x y^{2}-125 y^{3}$
C) $125 x^{3}-125 x^{2} y+125 x y^{2}-125 y^{3}$
D) $25 x^{3} y-25 x^{2} y^{2}+25 x y^{3}$

Question

Quizplus · Accepted Answer

The binomial theorem states that $(a+b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k}b^k$. Applying this to $(5x-5y)^3$, we get $125x^3 - 375x^2y + 375xy^2 - 125y^3$, which matches option B.

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