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2x[3x+2y-4z] added to 3y[2xy -3x+4y+2z]?
Most Upvoted Answer
2x[3x+2y-4z] added to 3y[2xy -3x+4y+2z]?


Solution:

Expanding the expressions:

  • First expression: 2x[3x+2y-4z] = 6x^2 + 4xy - 8xz
  • Second expression: 3y[2xy -3x+4y+2z] = 6xy^2 - 9xy + 12y^2 + 6yz


Adding the expanded expressions:

  • Adding the two expanded expressions together, we get:
  • 6x^2 + 4xy - 8xz + 6xy^2 - 9xy + 12y^2 + 6yz


Combining like terms:

  • Combining like terms, we simplify the expression to:
  • 6x^2 + 6xy^2 + 4xy - 9xy - 8xz + 6yz + 12y^2


Final expression:

  • The final expression after combining like terms is:
  • 6x^2 + 6xy^2 - 5xy + 6yz + 12y^2 - 8xz


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2x[3x+2y-4z] added to 3y[2xy -3x+4y+2z]?
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