erweitern (7x^2)/((x-4)^2(x+4)^2)

Lösung

erweitern

\frac{7 x ^{2}}{( x - 4 ) ^{2} ( x + 4 ) ^{2}}

\frac{7 x ^{2}}{x ^{4} - 32 x ^{2} + 256}

Schritte zur Lösung

\frac{7 x ^{2}}{( x - 4 ) ^{2} ( x + 4 ) ^{2}}

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

= \frac{7 x ^{2}}{( x ^{2} - 8 x + 16 ) ( x + 4 ) ^{2}}

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

= \frac{7 x ^{2}}{( x ^{2} - 8 x + 16 ) ( x ^{2} + 8 x + 16 )}

Multipliziere aus

(x^{2} - 8 x + 16) (x^{2} + 8 x + 16) : x^{4} - 32 x^{2} + 256

= \frac{7 x ^{2}}{x ^{4} - 32 x ^{2} + 256}

e x p an d \frac{- x + 4}{8 x ^{\frac{3}{2}} ( x - 2 ) ^{\frac{3}{4}}}

s im pl i f y (x^{2} - x^{4} - 3 x^{2} + 1) (x^{2} + x^{4} - 3 x^{2} + 1)

s im pl i f y e^{(- 1 - i) t}

s im pl i f y (3 + x 3)^{2}

e x p an d \frac{1}{3} (1 = 3 A + B + (- 9) C + D) \frac{1}{3}