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Beliebt Algebra >

faktorisieren 1/2 (x+3)^2-8

Lösung

faktorisieren

\frac{1}{2} (x + 3)^{2} - 8

Lösung

(\frac{1}{2} (x + 3) + 22) (\frac{1}{2} (x + 3) - 22)

Schritte zur Lösung

\frac{1}{2} (x + 3)^{2} - 8

Schreibe

\frac{( x + 3 ) ^{2}}{2} - 8

um:

(\frac{1}{2} (x + 3))^{2} - (8)^{2}

= (\frac{1}{2} (x + 3))^{2} - (8)^{2}

Wende Formel zur Differenz von zwei Quadraten an:

x^{2} - y^{2} = (x + y) (x - y)

(\frac{1}{2} (x + 3))^{2} - (8)^{2} = (\frac{1}{2} (x + 3) + 8) (\frac{1}{2} (x + 3) - 8)

= (\frac{1}{2} (x + 3) + 8) (\frac{1}{2} (x + 3) - 8)

Fasse zusammen

= (\frac{1}{2} (x + 3) + 22) (\frac{1}{2} (x + 3) - 22)

Beliebte Beispiele

2 x \leq 4

∣ x + 2 ∣ \geq - 3

5 x^{2} - 10 = 0

4x+2+7x=10x+3+x

4 x + 2 + 7 x = 10 x + 3 + x

5(x+6)-(5x+30)=0

5 (x + 6) - (5 x + 30) = 0