Expansion of (x - y)(x + y)
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e. $(x - y) \cdot (x + y) = $ $x^2 + xy - xy - y^2$
This question includes visual content: The image shows a handwritten math problem on grid paper. It includes the expression (x - y) . (x + y) = with curved lines indicating the distribution (FOIL method) of the terms. Below that, the expansion x^2 + xy - xy - y^2 is written with further markings beneath.
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Hi Selen, let's solve this algebraic expansion together.
Algebraic Expansion
We are given the product of two binomials: x minus y and x plus y.
To solve this, we will use the distributive property, often called the FOIL method, where we multiply every term in the first parenthesis by every term in the second.
Step-by-Step Multiplication
First, we multiply x times x, which gives us x squared.
Next, we multiply the outer terms: x times positive y is plus xy.
Then, the inner terms: negative y times x gives us minus xy.
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