Question

Use the distributive property to multiply (2w+ 7)(2w-7).

Answer 1

Here are the steps in multiplying binomials using the distributive property:

1. Multiply the first 2w and first 7 by the terms inside the second parenthesis/binomial. Add the products.

`(2w)(2w)+(2w)(-7)+(7)(2w)+(7)(-7)`

2. Simplify.

`4w^2-14w+14w-49`

3. Combine similar terms like -14w and 14w and the result is 0.

`4w^2+0-49`
`4w^2-49`

Hence, the product of the two binomials is 4w² - 49.