erweitern-(2x^4+36x^3+243x^2+732x+838)/((x+4)^4)

Lösung

erweitern

- \frac{2 x ^{4} + 36 x ^{3} + 243 x ^{2} + 732 x + 838}{( x + 4 ) ^{4}}

- \frac{2 x ^{4} + 36 x ^{3} + 243 x ^{2} + 732 x + 838}{x ^{4} + 16 x ^{3} + 96 x ^{2} + 256 x + 256}

Schritte zur Lösung

- \frac{2 x ^{4} + 36 x ^{3} + 243 x ^{2} + 732 x + 838}{( x + 4 ) ^{4}}

(x + 4)^{4} = x^{4} + 16 x^{3} + 96 x^{2} + 256 x + 256

= - \frac{2 x ^{4} + 36 x ^{3} + 243 x ^{2} + 732 x + 838}{x ^{4} + 16 x ^{3} + 96 x ^{2} + 256 x + 256}

e x p an d \frac{( 2 x + 1 ) ^{2}}{16}

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

e x p an d - 2 (100)^{2} + 400 (100) - 2000

e x p an d 2 (3 x + 2) (2 x + 3) - (3 x +, 1) (4 x + 3)

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