Zusammenfassung der Ressource
Quadratic Expansions
- Two brackets
- (x+2)(x-5)= x2-5x+2x-10
- = x2-3x-10
- (x+7)(x+2)
- = x2+2x+7x+14
- = x2+9x+14
- Three Brackets
- (x+1)(x+2)(x-3)=(x+1)[(x2-x-6)]
- = x3-x2-6x+x2-x-6
- = x3-7x-6
- (x+2)(x+5)(x+3)
- = (x+2)[(x2+8x+15)
- = x3+8x2+15x+2x2+16x+30
- = x3+10x2+31x+30
- Perfect Squares
- (x+4)2
- = (x+4)(x+4)
- = x2+8x+16
- (x+2)2
- = (x+2)(x+2)
- x2+4x+4
- Difference between two squares
- (x+5)(x-5)
- = x2+5x-5x-25
- = x2-25
- (x+3)(x-3)
- = x2+3x-3x-9
- = x2-9