(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!