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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:

  1. Distribute the terms in each of the parentheses:

    x²y * x - x²y * y² + xy² * 4xy - xy² * 2x² - x³y * 1 + x³y * 2y

  2. Simplify each term:

    x³y - x²y³ + 4x²y³ - 2x³y² - x³y + 2x³y²

  3. Combine like terms:

    x³y - x³y + 4x²y³ - 2x³y² + 2x³y² - x²y³

  4. Simplify the expression:

    4x²y³ - x²y³

So, the simplified form of the given expression is 3x²y³.

This problem has been solved

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