Question

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:
\[
2x^2 + 8x - 42
\]