Subtract: $(5a^{2} - 3a + 7) - (2a^{2} + a - 4)$.

Subtract: $(5a^{2} - 3a + 7) - (2a^{2} + a - 4)$.
  1. $3a^{2} - 4a + 11$
  2. $3a^{2} - 2a + 3$
  3. $7a^{2} - 2a + 3$
  4. $3a^{2} - 4a + 3$

Solution

$(5a^{2} - 2a^{2}) + (-3a - a) + (7 - (-4)) = 3a^{2} - 4a + 11$.

Asked in: IMO

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