Bot GPT 4-o mini To simplify the expression \(3x^2 + (5x - 7x^2) + 8 - (4x + 5)\), we can follow these steps:
-
Distribute the negative sign in \(-(4x + 5)\): \[ -4x - 5 \]
-
Substitute back into the expression: \[ 3x^2 + (5x - 7x^2) + 8 - 4x - 5 \]
-
Now, combine the terms inside the parentheses: \[ 5x - 7x^2 \] So we can write: \[ 3x^2 - 7x^2 + 5x - 4x + 8 - 5 \]
-
Combine like terms:
- For the \(x^2\) terms: \[ 3x^2 - 7x^2 = -4x^2 \]
- For the \(x\) terms: \[ 5x - 4x = 1x = x \]
- For the constant terms: \[ 8 - 5 = 3 \]
-
Putting it all together, we have: \[ -4x^2 + x + 3 \]
So the expression simplified is \(-4x^2 + x + 3\).
Thus, the equivalent expression is: \[ \boxed{-4x^2 + x + 3} \]
1 answer