Simplify: x2y(x − y2)+ xy2 (4xy − 2x2)−x3y(1−2y1SEE ANSWERADD ANSWER+5 PTS
Question
Simplify: x2y(x − y2)+ xy2 (4xy − 2x2)−x3y(1−2y1SEE ANSWERADD ANSWER+5 PTS
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Solution
Let's simplify the expression step by step:
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Distribute the terms in each of the parentheses:
x²y * x - x²y * y² + xy² * 4xy - xy² * 2x² - x³y * 1 + x³y * 2y
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Simplify each term:
x³y - x²y³ + 4x²y³ - 2x³y² - x³y + 2x³y²
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Combine like terms:
x³y - x³y + 4x²y³ - 2x³y² + 2x³y² - x²y³
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Simplify the expression:
4x²y³ - x²y³
So, the simplified form of the given expression is 3x²y³.
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