• Binomische Formeln
  • anonym
  • 06.12.2023
  • Mathematik
  • 8
Um die Lizenzinformationen zu sehen, klicken Sie bitte den gewünschten Inhalt an.
Bi­no­mi­sche For­meln

1. Bi­no­mi­sche For­meln : (a + b)2 = a2 + ab + ab + b2 = a2 + 2⋅a⋅b + b2



2. Bi­no­mi­sche For­meln : (a - b)2 = a2 - ab - ab + b2 = a2 - 2⋅a⋅b + b2



3. Bi­no­mi­sche For­meln : (a - b) ⋅ (a + b) = a2 - a⋅b + a⋅b - b2 = a2 - b2

1
1.Bi­no­mi­sche For­mel! Be­rech­ne
  • (x + 6)2 = 0 + 12 ⋅x + 36
  • (x + 7)2 = 0 + 14 ⋅x + 49
  • (x + 3)2 = 0 + 6 ⋅x + 9
  • (x + 4)2 = 0 + 8 ⋅x + 16
  • (x + 5)2 = 0 + 10 ⋅x + 25
  • (x + 8)2 = 0 + 16 ⋅x + 64
2
2.Bi­no­mi­sche For­mel! Be­rech­ne!
  • (x-8)2=x2-16⋅x+64
  • (x-3)2=x2-6⋅x+9
  • (x-15)2=x2-30⋅x+225
  • (x-11)2=x2-22⋅x+121
  • (x-6)2=x2-12⋅x+36
  • (x-4)2=x2-8⋅x+16
3
3.Bi­no­mi­sche For­mel! Be­rech­ne!
  • (x-7)(x+7)=x2-#49
  • (x-4)(x+4)=x2-#16
  • (x-8)(x+8)=x2-#64
  • (x-10)(x+10)=x2-#100
  • (x-6)(x+6)=x2-#36
  • (x-3)(x+3)=x2-#9
4
Jetzt mal an­ders­rum.
  • x2 + 24 ⋅x + 144= (x + 12)2
  • x2-12⋅x+36 = (x-6)2
  • x2 + 8 ⋅x + 16= (x + 4)2
  • x2-25 =(x-5)(x+5)
  • x2-20⋅x+100 = (x-10)2
  • x2 + 18 ⋅x + 81= (x + 9)2
  • x2-121 =(x-11)(x+11)
  • x2-100 =(x-10)(x+10)
  • x2-22⋅x+121 = (x-11)2
  • x2-24⋅x+144 = (x-12)2
  • x2-4⋅x+4 = (x-2)2
  • x2-8⋅x+16 = (x-4)2
  • x2-6⋅x+9 = (x-3)2
  • x2 + 26 ⋅x + 169= (x + 13)2
x