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Chapter 5: Problem 76

Find each product. $$(x+y+1)(x-y+1)$$

Short Answer

Expert verified
The result of the given operation is \(x^2 -y^2 +2x +1\).

Step by step solution

01

Distribution

The first step is to distribute each term of the first expression to every term in the second expression. The result will be: \(x(x-y+1)+y(x-y+1)+1(x-y+1)\)
02

Simplifying the Products

After breaking it down, we simplify the separate products to get \(x^2 -xy +x +yx -y^2 +y +x -y +1\).
03

Aggregation of Terms

When we combine like terms, we get \(x^2 -y^2 +2x +1\).

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