erweitern (5x^2+2x+1)^3+ln(x+1)

Lösung

erweitern

(5 x^{2} + 2 x + 1)^{3} + ln (x + 1)

125 x^{6} + 150 x^{5} + 135 x^{4} + 68 x^{3} + 27 x^{2} + 6 x + 1 + ln (x + 1)

Schritte zur Lösung

(5 x^{2} + 2 x + 1)^{3} + ln (x + 1)

(5 x^{2} + 2 x + 1)^{3} = (5 x^{2} + 2 x + 1) (5 x^{2} + 2 x + 1) (5 x^{2} + 2 x + 1)

= (5 x^{2} + 2 x + 1) (5 x^{2} + 2 x + 1) (5 x^{2} + 2 x + 1) + ln (x + 1)

Multipliziere aus

(5 x^{2} + 2 x + 1) (5 x^{2} + 2 x + 1) (5 x^{2} + 2 x + 1) : 125 x^{6} + 150 x^{5} + 135 x^{4} + 68 x^{3} + 27 x^{2} + 6 x + 1

= 125 x^{6} + 150 x^{5} + 135 x^{4} + 68 x^{3} + 27 x^{2} + 6 x + 1 + ln (x + 1)

s im pl i f y 2 (3 - 5)

s im pl i f y (- 3 + i)^{11}

e x p an d \frac{1}{( n + 2 ) ( n + 3 )}

e x p an d 3 x - 8 y - 2 z + 7 x + 3 y + z^{2}

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