Question
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplified expression is \(3x + 2 - 4x^{2}\).
Solution
Calculate or simplify the expression \( (3x-2)-(2x-2)(2x+2) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(3x-2\right)-\left(2x-2\right)\left(2x+2\right)\)
- step1: Remove the parentheses:
\(3x-2-\left(2x-2\right)\left(2x+2\right)\)
- step2: Multiply the terms:
\(3x-2+\left(-2x+2\right)\left(2x+2\right)\)
- step3: Expand the expression:
\(3x-2+4-4x^{2}\)
- step4: Add the numbers:
\(3x+2-4x^{2}\)
The simplified expression is \(3x+2-4x^{2}\).
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Mind Expander
To solve the expression \( (3x - 2) - (2x - 2)(2x + 2) \), we start by expanding the second term. First, we apply the distributive property to \( (2x - 2)(2x + 2) \): \[ (2x - 2)(2x + 2) = 2x \cdot 2x + 2x \cdot 2 - 2 \cdot 2x - 2 \cdot 2 = 4x^2 + 4x - 4x - 4 = 4x^2 - 4. \] Now we substitute back into the original expression: \[ (3x - 2) - (4x^2 - 4). \] This simplifies to: \[ 3x - 2 - 4x^2 + 4 = -4x^2 + 3x + 2. \] So the final expression is: \[ -4x^2 + 3x + 2. \]
