How do you subtract the expression 2x^3 + 9x + 8 – 4x^2 – 15x – 7?

To subtract the expression 2x³ + 9x + 8 and 4x² + 15x + 7, we need to combine like terms.

First, let’s rearrange the terms in descending order of their degree:

2x³ – 4x² + (9x – 15x) + (8 – 7)

Now, we can combine the like terms:

• There is only one cubic term: 2x³
• For the quadratic term, we have: -4x²
• For the linear terms: 9x – 15x = -6x
• And for the constant terms: 8 – 7 = 1

Putting it all together, we get:

2x³ – 4x² – 6x + 1

This is the simplified result of the subtraction.