Question

Simplify −12(32x−40)+(20x−4) . Write your answer in factored form.

Answer 1

Answer:
`\( 4(-91x + 119) \)`

Explanation:

To simplify the expression
`\( -12(32x - 40) + (20x - 4) \)`, follow these steps:

Step 1: Distribute the -12

First, distribute the -12 to both terms inside the parentheses
`\( (32x - 40) \)`:

`\[-12 * 32x + (-12) * (-40) = -384x + 480\]`

Step 2: Combine Like Terms

Combine the distributed terms with the remaining terms
`\( (20x - 4) \):`

`\[-384x + 480 + 20x - 4\]\[= -364x + 476\]`

Step 3: Factor the Expression

Now, look for the greatest common factor (GCF) of the coefficients of the terms. The GCF of 364 and 476 is 4:

`\[4(-91x + 119)\]`

So, the simplified expression \( -12(32x - 40) + (20x - 4) \) in factored form is
`\( 4(-91x + 119) \)`.