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How do you factor x2- y2?

Updated: 4/28/2022
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11y ago

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Alberto Hoeger

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3y ago
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11y ago

This type of expression is what we call a "difference of squares". This occurs whenever a perfect square is subtracted from another perfect square. It can be factored out to:

(x + y)(x - y)

To see why that is, try multiplying those two factors back together:

(x + y)(x - y)

= x(x - y) + y(x - y)

= x2 - xy + yx - y2

= x2 - xy + xy - y2

= x2 - y2

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Q: How do you factor x2- y2?
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