4. Si $$ A=2 x-3 y+5 $$ y $$ B=4 x+y-2 $$ entonces $$ 2 A-3 B $$ es:

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Simplify the expression by following steps:
- step0: Subtract the terms:
  $$2\left(2x-3y+5\right)-3\left(4x+y-2\right)$$
- step1: Expand the expression:
  $$4x-6y+10-3\left(4x+y-2\right)$$
- step2: Expand the expression:
  $$4x-6y+10-12x-3y+6$$
- step3: Subtract the terms:
  $$-8x-9y+16$$
Para resolver la expresión $$ 2A - 3B $$ donde $$ A = 2x - 3y + 5 $$ y $$ B = 4x + y - 2 $$, seguimos estos pasos:

1. **Sustitución de $$ A $$ y $$ B $$**:
   - $$ A = 2x - 3y + 5 $$
   - $$ B = 4x + y - 2 $$

2. **Multiplicamos $$ A $$ y $$ B $$**:
   - $$ 2A = 2(2x - 3y + 5) = 4x - 6y + 10 $$
   - $$ 3B = 3(4x + y - 2) = 12x + 3y - 6 $$

3. **Restamos $$ 3B $$ de $$ 2A $$**:
   $$
   2A - 3B = (4x - 6y + 10) - (12x + 3y - 6)
   $$

4. **Simplificamos la expresión**:
   $$
   2A - 3B = 4x - 6y + 10 - 12x - 3y + 6
   $$
   $$
   = (4x - 12x) + (-6y - 3y) + (10 + 6)
   $$
   $$
   = -8x - 9y + 16
   $$

Por lo tanto, $$ 2A - 3B = -8x - 9y + 16 $$.
$$ 2A - 3B = -8x - 9y + 16 $$

4. Si \( A=2 x-3 y+5 \) y \( B=4 x+y-2 \) entonces \( 2 A-3 B \) es:

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