Question
Simplify the expression
−2x4+8x3y−12x2y2+8xy3−2y4
Evaluate
(x−y)3(y−x)1×2
Calculate
(x−y)3(y−x)×2
Use the commutative property to reorder the terms
2(x−y)3(y−x)
Multiply the terms
2(−(x−y)4)
Use the commutative property to reorder the terms
−2(x−y)4
Expand the expression
−2(x4−4x3y+6x2y2−4xy3+y4)
Apply the distributive property
−2x4−(−2×4x3y)−2×6x2y2−(−2×4xy3)−2y4
Multiply the numbers
−2x4−(−8x3y)−2×6x2y2−(−2×4xy3)−2y4
Multiply the numbers
−2x4−(−8x3y)−12x2y2−(−2×4xy3)−2y4
Multiply the numbers
−2x4−(−8x3y)−12x2y2−(−8xy3)−2y4
Solution
−2x4+8x3y−12x2y2+8xy3−2y4
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