erweitern-(3x^2-26x+41)/((x-6)^2(x-7))

Lösung

erweitern

- \frac{3 x ^{2} - 26 x + 41}{( x - 6 ) ^{2} ( x - 7 )}

- \frac{3 x ^{2} - 26 x + 41}{x ^{3} - 19 x ^{2} + 120 x - 252}

Schritte zur Lösung

- \frac{3 x ^{2} - 26 x + 41}{( x - 6 ) ^{2} ( x - 7 )}

(x - 6)^{2} = x^{2} - 12 x + 36

= - \frac{3 x ^{2} - 26 x + 41}{( x ^{2} - 12 x + 36 ) ( x - 7 )}

Multipliziere aus

(x^{2} - 12 x + 36) (x - 7) : x^{3} - 19 x^{2} + 120 x - 252

= - \frac{3 x ^{2} - 26 x + 41}{x ^{3} - 19 x ^{2} + 120 x - 252}

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

e x p an d x \frac{\frac{y ^{2}}{y}}{3} \cdot \frac{1}{3} x

e x p an d \frac{2 ( 3 x ^{2} + 6 x + 2 )}{( x ^{2} + 2 x + 2 ) 3}

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

e x p an d π (22 + ln (3 + 22))