Question

Multiply the following binomials and collect like terms. Do not factor the result. (4x+2)*(-2x-4)

Answer 1

Multiplying the binomials (4x+2) and (-2x-4) and combining like terms results in the expression -8x^2 - 20x - 8.

Step-by-step explanation:

To multiply the binomials (4x+2) and (-2x-4), we use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). Here's the step-by-step process:

1. Multiply the First terms: 4x * (-2x) = -8x^2.
2. Multiply the Outer terms: 4x * (-4) = -16x.
3. Multiply the Inner terms: 2 * (-2x) = -4x.
4. Multiply the Last terms: 2 * (-4) = -8.

Next, we combine like terms:

-8x^2 + (-16x) + (-4x) + (-8) = -8x^2 - 20x - 8.

Therefore, the multiplication of the binomials (4x+2) and (-2x-4) results in the expression -8x^2 - 20x - 8.