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Sagot :
The product of sum and difference of two binomial like (x+y) and (x-y) is x² - y²
The first number = x
The second number = y
The sum of the two numbers = x + y
The difference of the two numbers = x - y
The product of the sum and the difference = (x+y)(x -y)
Note that the product of the sum and the difference = (x + y)(x - y)
This can be expanded by distributivity as shown below:
(x + y)(x - y) = x² + xy - xy - y²
(x + y)(x - y) = x² - y²
This is the difference of two squares.
Therefore, the product of sum and difference of two binomial like (x+y) and (x-y) is x² - y²
Learn more here: https://brainly.com/question/11084694
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