4. If $$ A=3 x^{2}+5 x-6 $$ and $$ B=-2 x^{2}-6 x+7 $$, what is the result of $$ A-B $$ ?

Question

UpStudy AI · Accepted Answer

1. Start with the given expressions:
   $$
   A = 3x^2 + 5x - 6 \quad \text{and} \quad B = -2x^2 - 6x + 7.
   $$

2. Write the expression for $$ A - B $$:
   $$
   A - B = (3x^2 + 5x - 6) - (-2x^2 - 6x + 7).
   $$

3. Distribute the negative sign to each term inside the parentheses:
   $$
   A - B = 3x^2 + 5x - 6 + 2x^2 + 6x - 7.
   $$

4. Combine like terms:
   - Combine the quadratic terms:
     $$
     3x^2 + 2x^2 = 5x^2.
     $$
   - Combine the linear terms:
     $$
     5x + 6x = 11x.
     $$
   - Combine the constant terms:
     $$
     -6 - 7 = -13.
     $$

5. Write the simplified result:
   $$
   A - B = 5x^2 + 11x - 13.
   $$
$$ A - B = 5x^2 + 11x - 13 $$

If and
, what is the
result of ?

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