text: # How do you multiply (x + -3)(10x + -20)?
  
  Aug 8, 2017
  
  $10 {x}^{2} - 50 x + 60$
  
  #### Explanation:
  
  $\left(x + - 3\right) \left(10 x + - 20\right)$
  
  $=$ $\left(x - 3\right) \left(10 x - 20\right)$
  
  $=$ $x \cdot \left(10 x - 20\right) - 3 \cdot \left(10 x - 20\right)$
  
  $=$ $\left(10 {x}^{2} - 20 x\right) - 30 x + 60$
  
  $=$ $10 {x}^{2} - 20 x - 30 x + 60$
  
  $=$ $10 {x}^{2} - 50 x + 60$
explanation: The document contains a math question and a detailed step-by-step answer to the question of how to multiply the binomials \((x + -3)(10x + -20)\).
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: # How do you multiply (x + -3)(10x + -20)?
  
  Aug 8, 2017
  
  $10 {x}^{2} - 50 x + 60$
  
  #### Explanation:
  
  $\left(x + - 3\right) \left(10 x + - 20\right)$
  
  $=$ $\left(x - 3\right) \left(10 x - 20\right)$
  
  $=$ $x \cdot \left(10 x - 20\right) - 3 \cdot \left(10 x - 20\right)$
  
  $=$ $\left(10 {x}^{2} - 20 x\right) - 30 x + 60$
  
  $=$ $10 {x}^{2} - 20 x - 30 x + 60$
  
  $=$ $10 {x}^{2} - 50 x + 60$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and a detailed step-by-step answer to the question of how to multiply the binomials \((x + -3)(10x + -20)\).
  
  Label: question-and-answer