erweitern 1/((x-1)^2(x+11)^2)

Lösung

erweitern

\frac{1}{( x - 1 ) ^{2} ( x + 11 ) ^{2}}

\frac{1}{x ^{4} + 20 x ^{3} + 78 x ^{2} - 220 x + 121}

Schritte zur Lösung

\frac{1}{( x - 1 ) ^{2} ( x + 11 ) ^{2}}

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

= \frac{1}{( x ^{2} - 2 x + 1 ) ( x + 11 ) ^{2}}

(x + 11)^{2} = x^{2} + 22 x + 121

= \frac{1}{( x ^{2} - 2 x + 1 ) ( x ^{2} + 22 x + 121 )}

Multipliziere aus

(x^{2} - 2 x + 1) (x^{2} + 22 x + 121) : x^{4} + 20 x^{3} + 78 x^{2} - 220 x + 121

= \frac{1}{x ^{4} + 20 x ^{3} + 78 x ^{2} - 220 x + 121}

e x p an d 2 + 3 sin (π (θ + 1))

e x p an d \frac{A G ( C + D )}{1 + FG - G H ( C + D )}

e x p an d \frac{2 ( 3 x - 1 )}{x - 4}

e x p an d \frac{k}{x ( T x + 1 + k )}

e x p an d \frac{d x}{( a x + b ) ( p x + q )}