(–10x^2–7x+4)+(–6x+9).

Answer 1

To simplify the expression \((-10x^2 - 7x + 4) + (-6x + 9)\), you can combine like terms:

1. First, rewrite the expression: \[ -10x^2 - 7x + 4 - 6x + 9 \]

2. Next, combine the like terms:

   • For the \(x^2\) term: \(-10x^2\) (this is the only one)
   • For the \(x\) terms: \(-7x - 6x = -13x\)
   • For the constant terms: \(4 + 9 = 13\)

3. Putting it all together, we get: \[ -10x^2 - 13x + 13 \]

Thus, the simplified expression is: \[ -10x^2 - 13x + 13 \]