erweitern ((a-2)(a^4+2a^3-2a^2-4a+4))/((a^2-2)^2)

Lösung

erweitern

\frac{( a - 2 ) ( a ^{4} + 2 a ^{3} - 2 a ^{2} - 4 a + 4 )}{( a ^{2} - 2 ) ^{2}}

\frac{a ^{5} - 6 a ^{3} + 12 a - 8}{a ^{4} - 4 a ^{2} + 4}

Schritte zur Lösung

\frac{( a - 2 ) ( a ^{4} + 2 a ^{3} - 2 a ^{2} - 4 a + 4 )}{( a ^{2} - 2 ) ^{2}}

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

= \frac{( a - 2 ) ( a ^{4} + 2 a ^{3} - 2 a ^{2} - 4 a + 4 )}{a ^{4} - 4 a ^{2} + 4}

Multipliziere aus

(a - 2) (a^{4} + 2 a^{3} - 2 a^{2} - 4 a + 4) : a^{5} - 6 a^{3} + 12 a - 8

= \frac{a ^{5} - 6 a ^{3} + 12 a - 8}{a ^{4} - 4 a ^{2} + 4}

e x p an d P (6, - 2) y Q (0, 6)

e x p an d \frac{x ( x + 1 )}{( x - 1 ) ( x - 2 )}

e x p an d \frac{10}{( 1 - 6 x ) ^{2}}

e x p an d (lo g_{10} (x) - 1) (lo g_{10} (y) + 3)

e x p an d \frac{18 z ^{3} + 16 z ^{2} - 21 z - 4}{( 6 z - 1 ) ( 2 z ^{3} - 1 )}