erweitern ((x-1)^2)/((x+2)(x+3)((x^2+4x+13)))

Lösung

erweitern

\frac{( x - 1 ) ^{2}}{( x + 2 ) ( x + 3 ) ( ( x ^{2} + 4 x + 13 ) )}

\frac{x ^{2} - 2 x + 1}{x ^{4} + 9 x ^{3} + 39 x ^{2} + 89 x + 78}

Schritte zur Lösung

\frac{( x - 1 ) ^{2}}{( x + 2 ) ( x + 3 ) ( ( x ^{2} + 4 x + 13 ) )}

Entferne die Klammern:

(a) = a

= \frac{( x - 1 ) ^{2}}{( x + 2 ) ( x + 3 ) ( x ^{2} + 4 x + 13 )}

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

= \frac{x ^{2} - 2 x + 1}{( x + 2 ) ( x + 3 ) ( x ^{2} + 4 x + 13 )}

Multipliziere aus

(x + 2) (x + 3) (x^{2} + 4 x + 13) : x^{4} + 9 x^{3} + 39 x^{2} + 89 x + 78

= \frac{x ^{2} - 2 x + 1}{x ^{4} + 9 x ^{3} + 39 x ^{2} + 89 x + 78}

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

e x p an d sin (θ) (0, - 5)

\frac{\partial}{\partial x} ((y) (y^{3} + x^{3} - 6 x y))

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

e x p an d \frac{8 ( 2 x ^{2} - 8 x - 1 )}{3 x ^{\frac{4}{3}} ( x + 1 ) ^{3}}