Perform the operation.

left parenthesis, minus, 10, x, squared, plus, 4, right parenthesis, plus, left parenthesis, minus, 9, x, minus, 6, right parenthesis
(−10x
2
+4)+(−9x−6)

Solve the problem just like the example below
⬇️
Perform the operation.
left parenthesis, x, plus, 9, right parenthesis, plus, left parenthesis, 3, x, squared, plus, 4, x, minus, 2, right parenthesis

(x+9)+(3x
2
+4x−2)
x, plus, 9, plus, 3, x, squared, plus, 4, x, minus, 2
x+9+3x
2
+4x−2

Combine like terms: 3, x, squared, plus, 5, x, plus, 7
3x
2
+5x+7

1 answer

Let's perform the operation step by step for the given expression:

\[ (-10x^2 + 4) + (-9x - 6) \]

First, we will write down the expression clearly:

\[ -10x^2 + 4 - 9x - 6 \]

Next, we will combine like terms. This involves gathering all the terms by their respective degrees:

  1. The \( x^2 \) term: \(-10x^2\)
  2. The \( x \) term: \(-9x\)
  3. The constant terms: \(4 - 6 = -2\)

Now, we can put these together:

\[ -10x^2 - 9x - 2 \]

So, the final result after combining like terms is:

\[ -10x^2 - 9x - 2 \]