If $A = 3x^{2} + 5x - 2$ and $B = x^{2} - 2x + 5$, find $2A - 3B$.

If $A = 3x^{2} + 5x - 2$ and $B = x^{2} - 2x + 5$, find $2A - 3B$.
  1. $3x^{2} + 16x - 19$
  2. $3x^{2} + 4x + 11$
  3. $9x^{2} + 16x + 1$
  4. $3x^{2} - 16x - 19$

Solution

$2A = 6x^{2} + 10x - 4$, $3B = 3x^{2} - 6x + 15$. $2A - 3B = 3x^{2} + 16x - 19$.

Asked in: IMO

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