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

Sagot :

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.

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