erweitern ((x-1)(x+2))/((x-3)(x+7))

Lösung

erweitern

\frac{( x - 1 ) ( x + 2 )}{( x - 3 ) ( x + 7 )}

\frac{x ^{2} + x - 2}{x ^{2} + 4 x - 21}

Schritte zur Lösung

\frac{( x - 1 ) ( x + 2 )}{( x - 3 ) ( x + 7 )}

Multipliziere aus

(x - 3) (x + 7) : x^{2} + 4 x - 21

= \frac{( x - 1 ) ( x + 2 )}{x ^{2} + 4 x - 21}

Multipliziere aus

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

= \frac{x ^{2} + x - 2}{x ^{2} + 4 x - 21}

e x p an d - \frac{12 s ^{2} - 35 s + 28}{2 ( s + 1 ) ^{2} ( s - 2 )}

e x p an d 5 (2 + 9)

e x p an d \frac{48 x ^{2} + 3 x + 18}{( 5 x ^{2} + x + 3 ) ( x - 3 )}

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

e x p an d (2 + 5) (3 - 11)