To find the difference between the two polynomials 9x² + 8x and 2x² + 3x, we need to subtract the second polynomial from the first.
We write this as:
(9x² + 8x) – (2x² + 3x)
Now, we can distribute the negative sign across the second polynomial:
9x² + 8x – 2x² – 3x
Next, we combine like terms:
- The x² terms: 9x² – 2x² = 7x²
- The x terms: 8x – 3x = 5x
Putting it all together, we get:
7x² + 5x
This expression, 7x² + 5x, represents the difference between the two polynomials.