Perform the operation.

left parenthesis, minus, 6, x, squared, plus, 3, x, right parenthesis, plus, left parenthesis, minus, x, plus, 6, right parenthesis
(−6x
2
+3x)+(−x+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.

Given:
\((−6x^2 + 3x) + (−x + 6)\)

Step 1: Write the expression as it is.
\(-6x^2 + 3x + (-x + 6)\)

Step 2: Remove the parentheses.
\(-6x^2 + 3x - x + 6\)

Step 3: Combine like terms.

  • Combine the terms with \(x\): \(3x - x = 2x\)

Final expression after combining like terms:
\(-6x^2 + 2x + 6\)

So, the final result is:
\(-6x^2 + 2x + 6\)