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3a2x12x5a2y+20y3a^2x - 12x - 5a^2y + 20y

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Q. 3a2x12x5a2y+20y3a^2x - 12x - 5a^2y + 20y
  1. Identify Factors: Identify common factors in pairs of terms.\newlineCalculation: Group terms as 3a2x12x3a^2x - 12x and 5a2y+20y -5a^2y + 20y.\newlineCommon factors are 3x3x for the first group and 5y -5y for the second group.
  2. Factor Common Factors: Factor out the common factors from each group.\newlineCalculation: 3x(a24)5y(a24)3x(a^2 - 4) - 5y(a^2 - 4).
  3. Recognize Common Factor: Recognize the common binomial factor.\newlineCalculation: Both groups have a common factor of (a24)(a^2 - 4).
  4. Factor Binomial Factor: Factor out the common binomial factor.\newlineCalculation: (a24)(3x5y)(a^2 - 4)(3x - 5y).