erweitern (16(3x^2+4))/((4-x^2)^3)

Lösung

erweitern

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

\frac{48 x ^{2} + 64}{64 - 48 x ^{2} + 12 x ^{4} - x ^{6}}

Schritte zur Lösung

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

(4 - x^{2})^{3} = 64 - 48 x^{2} + 12 x^{4} - x^{6}

= \frac{16 ( 3 x ^{2} + 4 )}{64 - 48 x ^{2} + 12 x ^{4} - x ^{6}}

Multipliziere aus

16 (3 x^{2} + 4) : 48 x^{2} + 64

= \frac{48 x ^{2} + 64}{64 - 48 x ^{2} + 12 x ^{4} - x ^{6}}

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

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

s im pl i f y cos (x) (1 + tan (2) (x))

e x p an d 2 (\frac{5}{e ^{36}} + \frac{5}{e ^{4}} + \frac{5}{e ^{16}})

s im pl i f y \frac{3}{13} \cdot (7 - 3) + \frac{4}{13} \cdot (0.25 \cdot 3)