Find the result of the subtraction: $$ (9m^{2} + 6m) - (4m^{2} + 10m - 1) $$

Question

UpStudy AI · Accepted Answer

To subtract the two polynomials $$ (9m^{2} + 6m) $$ and $$ (4m^{2} + 10m - 1) $$, follow these steps:

1. **Distribute the negative sign** to each term in the second polynomial:
   $$
   (9m^{2} + 6m) - (4m^{2} + 10m - 1) = 9m^{2} + 6m - 4m^{2} - 10m + 1
   $$

2. **Combine like terms**:
   - Combine the $$ m^{2} $$ terms:
     $$
     9m^{2} - 4m^{2} = 5m^{2}
     $$
   - Combine the $$ m $$ terms:
     $$
     6m - 10m = -4m
     $$
   - The constant term remains:
     $$
     +1
     $$

3. **Write the final expression**:
   $$
   5m^{2} - 4m + 1
   $$

**Final Answer:**  
$$ 5m^{2} - 4m + 1 $$
$$ 5m^{2} - 4m + 1 $$

Find the result of the subtraction: \( (9m^{2} + 6m) - (4m^{2} + 10m - 1) \)

Solución de tutoría real

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Algebra Questions