Question

Multiply the binomials. (5x−8)(6x+7)

Answer 1

The product of the two binomials (5x−8)(6x+7) is 30x² − 13x − 56.

Step-by-step explanation:

To multiply the binomials (5x−8)(6x+7), we use the FOIL method, which stands for First, Outer, Inner, Last. Here's the step-by-step process:

• First: Multiply the first terms in each binomial: 5x × 6x = 30x².
• Outer: Multiply the outer terms: 5x × 7 = 35x.
• Inner: Multiply the inner terms: −8 × 6x = −48x.
• Last: Multiply the last terms: −8 × 7 = −56.

Now, combine like terms:

30x² + (35x −48x) + (−56) = 30x² − 13x − 56.

So, the product of the two binomials (5x−8)(6x+7) is 30x² − 13x − 56.