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

Lösung

erweitern

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

\frac{x ^{2} + 3 x}{7 x ^{3} + 25 x ^{2} + 16 x - 12}

Schritte zur Lösung

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

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

= \frac{x ( x + 3 )}{( x ^{2} + 4 x + 4 ) ( 7 x - 3 )}

Multipliziere aus

(x^{2} + 4 x + 4) (7 x - 3) : 7 x^{3} + 25 x^{2} + 16 x - 12

= \frac{x ( x + 3 )}{7 x ^{3} + 25 x ^{2} + 16 x - 12}

Multipliziere aus

x (x + 3) : x^{2} + 3 x

= \frac{x ^{2} + 3 x}{7 x ^{3} + 25 x ^{2} + 16 x - 12}

e x p an d \frac{( 10 x - 1 ) ^{2}}{100}

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

e x p an d (1, 2, 3) x (- 2, - 2, 4)

e x p an d \frac{x ^{2} + 20 x + 31}{( x + 2 ) ^{2} ( x - 3 )}

e x p an d \frac{( 4 x + 1 ) ( 5 x - 1 )}{x ^{2} - 9}