faktorisieren (a^2)/4-b^2

Lösung

faktorisieren

\frac{a ^{2}}{4} - b^{2}

(\frac{a}{2} + b) (\frac{a}{2} - b)

Schritte zur Lösung

\frac{a ^{2}}{4} - b^{2}

Schreibe

\frac{a ^{2}}{4} - b^{2}

um:

(\frac{1}{4} a)^{2} - b^{2}

= (\frac{1}{4} a)^{2} - b^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(\frac{1}{4} a)^{2} - b^{2} = (\frac{1}{4} a + b) (\frac{1}{4} a - b)

= (\frac{1}{4} a + b) (\frac{1}{4} a - b)

Fasse zusammen

= (\frac{a}{2} + b) (\frac{a}{2} - b)

f a c t or 3 x - 9 y - x z + 3 yz

f a c t or (3 a)^{2} + 10 ab + (7 b)^{2}

f a c t or sin^{2} (x) - 3 sin (x) - 40

f a c t or (2 x - 5)^{3} - 1

f a c t or (200 x^{0.21}) + (0.14 x^{300})