text: +0
  
  # factoring
  
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  How do i simplify (3x^2-4y)(2x^3+5y)?
  
  Guest Jun 11, 2017
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  (3x^2-4y)(2x^3+5y)
  
  Distribute the first term in the first set of parentheses over the two terms in the second set
  
  3x^2 * 2x^3  +  3x^2 *5y  =      6x^5   +  15x^2y    (1)
  
  Distribute the second term in the first set of parenthesesover the two terms in the second set
  
  -4y*2x^3 - 4y*5y   =    -8yx^3 - 20y^2    (2)
  
  Combine (1) and (2)
  
  6x^5 + 15x^2y - 8x^3y - 20y^2
  
  CPhill  Jun 11, 2017
  
  ### 28 Online Users
  
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explanation: The text extract contains a math question and a detailed answer provided by a user named CPhill. The question asks how to simplify the expression \((3x^2-4y)(2x^3+5y)\). The answer involves distributing the terms and combining like terms to get the final simplified expression.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: +0
  
  # factoring
  
  0
  155
  1
  
  How do i simplify (3x^2-4y)(2x^3+5y)?
  
  Guest Jun 11, 2017
  Sort:
  
  #1
  +82609
  +2
  
  (3x^2-4y)(2x^3+5y)
  
  Distribute the first term in the first set of parentheses over the two terms in the second set
  
  3x^2 * 2x^3  +  3x^2 *5y  =      6x^5   +  15x^2y    (1)
  
  Distribute the second term in the first set of parenthesesover the two terms in the second set
  
  -4y*2x^3 - 4y*5y   =    -8yx^3 - 20y^2    (2)
  
  Combine (1) and (2)
  
  6x^5 + 15x^2y - 8x^3y - 20y^2
  
  CPhill  Jun 11, 2017
  
  ### 28 Online Users
  
  We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract contains a math question and a detailed answer provided by a user named CPhill. The question asks how to simplify the expression \((3x^2-4y)(2x^3+5y)\). The answer involves distributing the terms and combining like terms to get the final simplified expression.
  
  Label: question-and-answer