vereinfachen ((((x+1)^4-4))/(4(x+1)^2))^2

Lösung

vereinfachen

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

\frac{( x ^{4} + 4 x ^{3} + 6 x ^{2} + 4 x - 3 ) ^{2}}{16 ( x + 1 ) ^{4}}

Schritte zur Lösung

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

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

(4 (x + 1)^{2})^{2} = 4^{2} (x + 1)^{4}

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

((x + 1)^{4} - 4)^{2} = (x^{4} + 4 x^{3} + 6 x^{2} + 4 x - 3)^{2}

= \frac{( x ^{4} + 4 x ^{3} + 6 x ^{2} + 4 x - 3 ) ^{2}}{4 ^{2} ( x + 1 ) ^{4}}

4^{2} = 16

= \frac{( x ^{4} + 4 x ^{3} + 6 x ^{2} + 4 x - 3 ) ^{2}}{16 ( x + 1 ) ^{4}}

6^{2} + x^{2} = 1 4^{2}

s im pl i f y (\frac{3}{5})^{8}

12 < \frac{u}{7}

f a c t or x^{2 - 1}

x^{2} - 6 x + 9 < 0