erweitern (x+1)/((x^2+1)^2(x^2+x+1))

Lösung

erweitern

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

\frac{x + 1}{x ^{6} + x ^{5} + 3 x ^{4} + 2 x ^{3} + 3 x ^{2} + x + 1}

Schritte zur Lösung

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

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

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

Multipliziere aus

(x^{4} + 2 x^{2} + 1) (x^{2} + x + 1) : x^{6} + x^{5} + 3 x^{4} + 2 x^{3} + 3 x^{2} + x + 1

= \frac{x + 1}{x ^{6} + x ^{5} + 3 x ^{4} + 2 x ^{3} + 3 x ^{2} + x + 1}

s im pl i f y (x^{2} - 5) (x^{2} + 5)

e x p an d lo g_{10} (3 \frac{x ^{7} z}{y ^{2}})

s im pl i f y (x + 2) (x - 5)

e x p an d (csc (θ) - sec (θ)) (cos (θ) + sin (θ))

e x p an d (x^{\frac{1}{3}} + y^{\frac{1}{3}})^{6}