vereinfachen ((a^4-b^4))/((a-b))

Lösung

vereinfachen

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

(a^{2} + b^{2}) (a + b)

Schritte zur Lösung

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

a^{4} = (a^{2})^{2}

b^{4} = (b^{2})^{2}

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

Wende Formel zur Differenz von zwei Quadraten an:

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

(a^{2})^{2} - (b^{2})^{2} = (a^{2} + b^{2}) (a^{2} - b^{2})

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

Wende Formel zur Differenz von zwei Quadraten an:

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

a^{2} - b^{2} = (a + b) (a - b)

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

Streiche die gemeinsamen Faktoren:

a - b

= (a^{2} + b^{2}) (a + b)

s im pl i f y \frac{8 ! 7 !}{9 ! 5 !}

∣ x ∣ = - 14

4 = x + 5 - 6 x

x^{2} + 6 x + 144 = 0

f a c t or 5 x^{2} - 27 x y + 10 y^{2}