put the steps in the correct order when multiplying the binomials (2x - 6)(x + 7). start with the given expression and end with the simplified trinomails.

Answer 1

To multiply the binomials \((2x - 6)(x + 7)\) and simplify them, follow these steps in order:

1. Start with the given expression: \[ (2x - 6)(x + 7) \]

2. Distribute each term in the first binomial to each term in the second binomial: \[ 2x \cdot x + 2x \cdot 7 - 6 \cdot x - 6 \cdot 7 \]

3. Perform the multiplications: \[ 2x^2 + 14x - 6x - 42 \]

4. Combine the like terms: \[ 2x^2 + (14x - 6x) - 42 \]

5. Simplify: \[ 2x^2 + 8x - 42 \]

Therefore, the final simplified trinomial is: \[ 2x^2 + 8x - 42 \]