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Mathematics

a(x - y) - b(y - x)2 is equal to:

  1. (x - y)(a - by + bx)

  2. (y - x)(a - bx + by)

  3. (x - y) (a - bx - by)

  4. (x - y) (a - bx + by)

Factorisation

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Answer

a(x - y) - b(y - x)2

= a(x - y) - b(-(x - y))2

= a(x - y) - b(x - y)2

= (x - y)(a - b(x - y))

= (x - y)(a - bx + by)

Hence, option 4 is the correct option.

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