erweitern (9x^2(x-7)^2)/((x+5)^2)

Lösung

erweitern

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

\frac{9 x ^{4} - 126 x ^{3} + 441 x ^{2}}{x ^{2} + 10 x + 25}

Schritte zur Lösung

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

(x + 5)^{2} = x^{2} + 10 x + 25

= \frac{9 x ^{2} ( x - 7 ) ^{2}}{x ^{2} + 10 x + 25}

(x - 7)^{2} = x^{2} - 14 x + 49

= \frac{9 x ^{2} ( x ^{2} - 14 x + 49 )}{x ^{2} + 10 x + 25}

Multipliziere aus

9 x^{2} (x^{2} - 14 x + 49) : 9 x^{4} - 126 x^{3} + 441 x^{2}

= \frac{9 x ^{4} - 126 x ^{3} + 441 x ^{2}}{x ^{2} + 10 x + 25}

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

e x p an d e^{7 t} (27 \cdot U (t - 18))

e x p an d \frac{( X ^{3} + X ^{2} + 5 X + 4 )}{( X ^{2} + 4 ) ^{2}}

s im pl i f y (3 t + 1 - 1) (t + 1 + 1)

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