put the steps in the correct order when multiplying the binomials (2x - 5)(x + 7). start with the given expression and end with the simplified trinomail.

Answer 1

To multiply the binomials \((2x - 5)(x + 7)\), you can follow these steps in the correct order:

1. Write the given expression:
   \((2x - 5)(x + 7)\)

2. Distribute the first term of the first binomial to both terms of the second binomial:
   \(2x \cdot x + 2x \cdot 7 = 2x^2 + 14x\)

3. Distribute the second term of the first binomial to both terms of the second binomial:
   \(-5 \cdot x - 5 \cdot 7 = -5x - 35\)

4. Combine all the terms:
   \(2x^2 + 14x - 5x - 35\)

5. Combine like terms:
   \(2x^2 + (14x - 5x) - 35 = 2x^2 + 9x - 35\)

6. Write the final simplified trinomial:
   \(2x^2 + 9x - 35\)

So the final result after multiplying the binomials \((2x - 5)(x + 7)\) is \(2x^2 + 9x - 35\).