text: ﻿ Which of the following is/are correct in factorization?
  
  #### Checkbox Question
  
  Which of the following is/are correct in factorization?
  
  1. x^2-6x-16=(x-8)(x+2)
  
  2. ×
  
  x^2y^2-10xy+16=(xy+2)(xy+8)
  
  3. x^2-5xy+6y^2=(x-2)(x-3)
  
  4. ×
  
  x^2+13xy-30y^2=(x-10y)(x-3y)
  
  Collected in the board: Factorization
  
  Steven Zheng posted 2 days ago
  
  1. x^2-6x-16
  
  =x^2-8x+2x-16
  
  =x(x-8)+2(x-8)
  
  =(x-8)(x+2)
  
  Correct
  
  2. x^2y^2-10xy+16
  
  =x^2y^2-8xy-2xy+16
  
  =xy(xy-8)-2(xy-8)
  
  =(xy-2)(xy-8)
  
  Therefore
  
  (xy+2)(xy+8) is not correct
  
  3. x^2-5xy+6y^2
  
  =x^2-3xy-2xy+6y^2
  
  =x(x-3y)-2y(x-3y)
  
  =(x-2)(x-3)
  
  Correct
  
  4. x^2+13xy-30y^2
  
  =x^2-2xy+15xy-30y^2
  
  =x(x-2y)+15y(x-2y)
  
  =(x+15y)(x-2y)
  
  Therefore
  
  (x-10y)(x-3y) is not correct
  
  Steven Zheng posted 2 days ago
  
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