Difference of two squares (English)
Suchen nach " Difference of two squares " in NRICH | PLUS | maths.org | Google
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.
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.
Beziehungen:
- weiterer Begriff:
- (en) Theorem
- bezieht sich auf:
- (en) Brackets
- (en) Factorise
- (en) Square number
Finanziert durch: EU Socrates Minerva, HeyMath!, Cambridge University Press