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Difference of two squares - Definition and Overview |
| Related Words: Aberration, Abnormality, Accommodation, Account, Adaptation, Aggregate, Alienation, Alteration, Annulet, Anomaly, Apostasy, Argent, Argument |
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In mathematics, the difference of two squares refers to the identity
- a2 − b2 = (a + b)(a − b)
from elementary algebra. The proof is straightforward, starting from the RHS: apply the distributive law to get a sum of four terms, and set
- ba − ab = 0
as an application of the commutative law. The resulting identity is one of the most commonly used in all of mathematics.
The proof just given indicates the scope of the identity in abstract algebra: it will hold in any commutative ring R. Also, conversely, if it holds in a ring R, then R is commutative.
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Example Usage of Difference |
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eChavi: @mscrissy All you're proving right now is that our age Difference isn't all that significant. Lol. #igrewup on about 90% of all that |
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cattiejen: Co worker told me a funny joke: what's the Difference between tiger woods and santa claus? Santa claus stops after 3 ho's!!! |
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myniftynappy: @Mom2chunkymonky fleece or MICROfleece? there is a big Difference in how they react to water. sorry just trying to help you figure it out. |
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