erweitern (3x^2(9-x^2))/((7-5x)(5x^2-6))

Lösung

erweitern

\frac{3 x ^{2} ( 9 - x ^{2} )}{( 7 - 5 x ) ( 5 x ^{2} - 6 )}

\frac{27 x ^{2} - 3 x ^{4}}{35 x ^{2} - 42 - 25 x ^{3} + 30 x}

Schritte zur Lösung

\frac{3 x ^{2} ( 9 - x ^{2} )}{( 7 - 5 x ) ( 5 x ^{2} - 6 )}

Multipliziere aus

(7 - 5 x) (5 x^{2} - 6) : 35 x^{2} - 42 - 25 x^{3} + 30 x

= \frac{3 x ^{2} ( - x ^{2} + 9 )}{35 x ^{2} - 42 - 25 x ^{3} + 30 x}

Multipliziere aus

3 x^{2} (9 - x^{2}) : 27 x^{2} - 3 x^{4}

= \frac{27 x ^{2} - 3 x ^{4}}{35 x ^{2} - 42 - 25 x ^{3} + 30 x}

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

e x p an d 2 (e^{- 3 x} - 3 e^{- 3 x} x)

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

e x p an d (u - 4)^{4} u

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