Module 7

When you multiply a difference of two squares, why is your answer a binomial instead of a trinomial like when you multiply the sum of two squares? Create an example of multiplying a difference of two squares and show your work as you simplify the expression.

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Answer:

When you multiply a difference of squares, two terms cancel each other out and result in a binomial instead of a trinomial. To understand this, you can use an example.

When you multiply (x-3) and (x+3), you can use FOIL to expand them. By doing this, you get x^2-3x+3x-9. As you can see, -3x and 3x cancel each other out, so this results in a binomial instead of a trinomial.

Answer:

when you multiply them the two terms cancel each other out which will result in a binominal

Step-by-step explanation: