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Mathematics

If a, b and c are three rational numbers, we have:

  1. (a x b) x c = (a x c) x (b x c)
  2. (a + b) x c = (a + c) x (b + c)
  3. a x (b - c) = a x b - a x c
  4. a x (b - c) = a x b - c

Rational Numbers

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Answer

We know that, multiplication of rational numbers is distributive over their addition/subtraction.

∴ a x (b - c) = a x b - a x c

Hence, option 3 is the correct option.

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