Choose the one alternative that best completes the statement or answers the question.
Use Pascal's triangle to write the expansion of the the given expression.
-$$( x - y ) ^ { 4 } \text {. }$$
A) $x ^ { 4 } + 4 x ^ { 3 } y - 6 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 } - y ^ { 4 }$
B) $x ^ { 4 } - 4 x ^ { 3 } y + 6 x ^ { 2 } y ^ { 2 } - 4 x y ^ { 3 } + y ^ { 4 }$
C) $x ^ { 4 } - y ^ { 4 }$
D) $x ^ { 4 } - x y + y ^ { 4 }$

Question

Quizplus · Accepted Answer

The correct expansion of $(x - y)^4$ using Pascal's triangle (which provides the coefficients 1, 4, 6, 4, 1 for the expansion of a binomial raised to the fourth power) results in $x^4 - 4x^3y + 6x^2y^2 - 4xy^3 + y^4$.

Choose the One Alternative That Best Completes the Statement or Answers