erweitern (4-x^2)^2-(1-1/4 x^2)^2

Lösung

erweitern

(4 - x^{2})^{2} - (1 - \frac{1}{4} x^{2})^{2}

16 + \frac{15 x ^{4} - 120 x ^{2} - 16}{16}

Schritte zur Lösung

(4 - x^{2})^{2} - (1 - \frac{1}{4} x^{2})^{2}

Schreibe

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

um:

16 - 8 x^{2} + x^{4}

= 16 - 8 x^{2} + x^{4} - (1 - \frac{1}{4} x^{2})^{2}

Schreibe

- (1 - \frac{1}{4} x^{2})^{2}

um:

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

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

Füge zusammen:

16 - 8 x^{2} + x^{4} - \frac{16 - 8 x ^{2} + x ^{4}}{16} : 16 + \frac{15 x ^{4} - 120 x ^{2} - 16}{16}

= 16 + \frac{15 x ^{4} - 120 x ^{2} - 16}{16}

e x p an d (z + \frac{1}{z})^{5}

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

s im pl i f y (x - 1) (x - 2 - 3) (x - 2 + 3)

e x p an d (x - 1)^{2} 3 x + 2

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