Bot GPT 4-o mini To simplify the expression \((7x^2 - 6x + 2) - (4x - 8) + (-6x^2 + 3x)\), we will first distribute the negative sign in the second term and then combine like terms.
-
Distributing the negative sign: \[ (7x^2 - 6x + 2) - (4x - 8) + (-6x^2 + 3x) = (7x^2 - 6x + 2) - 4x + 8 - 6x^2 + 3x \]
-
Rearranging: \[ 7x^2 - 6x - 6x^2 - 4x + 3x + 2 + 8 \]
-
Combining like terms:
- For \(x^2\) terms: \[ 7x^2 - 6x^2 = 1x^2 \]
- For \(x\) terms: \[ -6x - 4x + 3x = -7x \]
- For constant terms: \[ 2 + 8 = 10 \]
-
Putting it all together: \[ x^2 - 7x + 10 \]
Thus, the expression simplifies to:
Answer: \(x^2 - 7x + 10\) (x squared minus 7 x plus 10).
1 answer