erweitern (x^2(x^2-12))/((x^2-4)^2)

Lösung

erweitern

\frac{x ^{2} ( x ^{2} - 12 )}{( x ^{2} - 4 ) ^{2}}

\frac{x ^{4} - 12 x ^{2}}{x ^{4} - 8 x ^{2} + 16}

Schritte zur Lösung

\frac{x ^{2} ( x ^{2} - 12 )}{( x ^{2} - 4 ) ^{2}}

(x^{2} - 4)^{2} = x^{4} - 8 x^{2} + 16

= \frac{x ^{2} ( x ^{2} - 12 )}{x ^{4} - 8 x ^{2} + 16}

Multipliziere aus

x^{2} (x^{2} - 12) : x^{4} - 12 x^{2}

= \frac{x ^{4} - 12 x ^{2}}{x ^{4} - 8 x ^{2} + 16}

s im pl i f y \frac{1}{5} - \frac{2}{125} (6.1 - 6)

e x p an d (5 x^{4} + 11 x^{2} y - 8 y^{2} + 3) l e f t (3 x y^{2})

s im pl i f y (5 - x 6)^{2}

s im pl i f y (\frac{3}{x - 8} + 5 (100 - x)) (x - 8)

e x p an d \frac{( 1 - r )}{( z - r ) ( z - 1 )}