Question

Insert a monomial such that each expression can be rewritten as the square of a sum or the square of a difference. What is the missing monomial in the expression 56a² - 49?

Answer 1

To rewrite the expression as the square of a sum or the square of a difference, we can rewrite 56a² - 49 as (7a)² - 7². The missing monomial is 7.

Step-by-step explanation:

To rewrite the expression as the square of a sum or the square of a difference, we need to identify two terms that can be squared to give us 56a² and 49. Since 56a² can be written as (7a)² and 49 can be written as 7², we can rewrite the expression as (7a)² - 7². This means the missing monomial is 7.