erweitern ((16m^3+n^2)^2)/(16)

Lösung

erweitern

\frac{( 16 m ^{3} + n ^{2} ) ^{2}}{16}

16 m^{6} + 2 m^{3} n^{2} + \frac{n ^{4}}{16}

Schritte zur Lösung

\frac{( 16 m ^{3} + n ^{2} ) ^{2}}{16}

(16 m^{3} + n^{2})^{2} = 256 m^{6} + 32 m^{3} n^{2} + n^{4}

= \frac{256 m ^{6} + 32 m ^{3} n ^{2} + n ^{4}}{16}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{256 m ^{6} + 32 m ^{3} n ^{2} + n ^{4}}{16} = \frac{256 m ^{6}}{16} + \frac{32 m ^{3} n ^{2}}{16} + \frac{n ^{4}}{16}

= \frac{256 m ^{6}}{16} + \frac{32 m ^{3} n ^{2}}{16} + \frac{n ^{4}}{16}

Teile die Zahlen:

\frac{256}{16} = 16

= 16 m^{6} + \frac{32 m ^{3} n ^{2}}{16} + \frac{n ^{4}}{16}

Teile die Zahlen:

\frac{32}{16} = 2

= 16 m^{6} + 2 m^{3} n^{2} + \frac{n ^{4}}{16}

e x p an d (4 - \frac{1}{n})^{6}

e x p an d (4 - \frac{1}{n})^{7}

e x p an d (- 2, - 3) (3 x + 5 y - 12 = 0)

e x p an d - csc (x) (sin (4 x) - 2 sin (3 x) cos (x))

e x p an d \frac{12 x ^{3}}{3 x}