Question

Find the product of (2n + 7)(4n − 3).

Select one:
a. 8² - 22m - 21
b. 8m² + 22n – 21
c. 8n² - 21
d. 6n² + 10n +4

Answer 1

To find the product of (2n + 7)(4n - 3), use the distributive property and combine like terms to get 8n² + 22n - 21.

Step-by-step explanation:

To find the product of (2n + 7)(4n - 3), we can use the distributive property. Multiply each term in the first expression (2n + 7) by each term in the second expression (4n - 3) and then combine like terms.

1. Multiply 2n by 4n: 2n * 4n = 8n²
2. Multiply 2n by -3: 2n * -3 = -6n
3. Multiply 7 by 4n: 7 * 4n = 28n
4. Multiply 7 by -3: 7 * -3 = -21

Now combine the like terms: 8n² - 6n + 28n - 21.

Combining the middle terms, we get 8n² + 22n - 21.