erweitern ,3(x+1)^3+(x+1)^2-2(x+1)

Lösung

erweitern

3 (x + 1)^{3} + (x + 1)^{2} - 2 (x + 1)

3 x^{3} + 10 x^{2} + 9 x + 2

Schritte zur Lösung

3 (x + 1)^{3} + (x + 1)^{2} - 2 (x + 1)

Schreibe

3 (x + 1)^{3}

um:

3 x^{3} + 9 x^{2} + 9 x + 3

= 3 x^{3} + 9 x^{2} + 9 x + 3 + (x + 1)^{2} - 2 (x + 1)

Schreibe

(x + 1)^{2}

um:

x^{2} + 2 x + 1

= 3 x^{3} + 9 x^{2} + 9 x + 3 + x^{2} + 2 x + 1 - 2 (x + 1)

Schreibe

- 2 (x + 1)

um:

- 2 x - 2

= 3 x^{3} + 9 x^{2} + 9 x + 3 + x^{2} + 2 x + 1 - 2 x - 2

Vereinfache

3 x^{3} + 9 x^{2} + 9 x + 3 + x^{2} + 2 x + 1 - 2 x - 2 : 3 x^{3} + 10 x^{2} + 9 x + 2

= 3 x^{3} + 10 x^{2} + 9 x + 2

e x p an d \frac{( ( 2 x - 1 ) ^{3} ( 26 - 6 x ) )}{( 4 - x ) ^{3}}

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

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

e x p an d \frac{2 ( x + 6 )}{( x + 4 ) ( x - 4 )}

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