erweitern ((X^3+X^2+5X+4))/((X^2+4)^2)

Lösung

erweitern

\frac{( X ^{3} + X ^{2} + 5 X + 4 )}{( X ^{2} + 4 ) ^{2}}

\frac{X ^{3} + X ^{2} + 5 X + 4}{X ^{4} + 8 X ^{2} + 16}

Schritte zur Lösung

\frac{X ^{3} + X ^{2} + 5 X + 4}{( X ^{2} + 4 ) ^{2}}

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

= \frac{X ^{3} + X ^{2} + 5 X + 4}{X ^{4} + 8 X ^{2} + 16}

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

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

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

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

e x p an d (ln (x))^{s e c (x)}