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D OT S
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D OT S

Difference of two squares   (English)

Definition Niveau 2

We know that (x+y)(x−y)=x2−xy+xy−y2 (by multiplying out the brackets).
But this is the same as x2−y2. So whenever we have an expression like x2−y2 we can write it as (x+y)(x-y). This result is often useful for simplifying algebra; it is called the difference of two squares.
For example: 62−52=(6+5)(6−5)=11 ×1 = 11.
172−152=(17+15)(17−15)=32 ×1 = 64.

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