(3x+12) (2x+10) (x - 2x) →o

To simplify the expression \((3x + 12)(2x + 10)(x - 2x)\), we can start by simplifying each term step by step. 1. **Simplify \( x - 2x \)**: \[ x - 2x = -x \] 2. **Rewrite the expression**: Now we have: \[ (3x + 12)(2x + 10)(-x) \] 3. **Factor out the common terms where possible**: In the expression \( (3x + 12)(2x + 10) \), we can factor out constants: - From \(3x + 12\), we can factor out a 3: \[ 3(x + 4) \] - From \(2x + 10\), we can factor out a 2: \[ 2(x + 5) \] 4. **Put those factors back into the expression**: The expression now looks like: \[ (3(x + 4))(2(x + 5))(-x) \] 5. **Multiply the constants**: Combine the constants: \[ 3 \cdot 2 = 6 \] Thus we have: \[ -6x(x + 4)(x + 5) \] 6. **Distribute \(-6x\)**: This gives: \[ -6x(x + 4)(x + 5) \] At this point, we have factored the expression, and if needed, you can expand it further or evaluate it for specific values of \(x\). So the simplified form is: \[ -6x(x + 4)(x + 5) \] If you need any further steps, like expanding the expression or finding specific values for it, please let me know!