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.
[tex](2w)(2w)+(2w)(-7)+(7)(2w)+(7)(-7)[/tex]2. Simplify.
[tex]4w^2-14w+14w-49[/tex]3. Combine similar terms like -14w and 14w and the result is 0.
[tex]4w^2+0-49[/tex][tex]4w^2-49[/tex]Hence, the product of the two binomials is 4w² - 49.
